{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "400875eb",
   "metadata": {},
   "source": [
    "# DAY56\n",
    "\n",
    "- 作者：疏锦行\n",
    "- 微信：shujinxing777"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d928e4d8",
   "metadata": {},
   "source": [
    "在介绍时间序列模型前，你需要知道时间数据对应的检验流程。把今天的内容吸收会帮助你理解时间序列预测任务，从来龙去脉中感受为什么需要这些流程。\n",
    "\n",
    "\n",
    "同样，今日的内容只要知道逻辑即可，用到的时候让ai来写代码即可，不要把自己活成记忆机器。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "274c6d10",
   "metadata": {},
   "source": [
    "# 一、假设检验"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "182b1b4e",
   "metadata": {},
   "source": [
    "## 1.1 原假设和备择假设"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "298a1879",
   "metadata": {},
   "source": [
    "由于序列预测本身对数据有很多要求，所以在此之前我们需要进行一定的检验来看后续选择什么样的操作。\n",
    "\n",
    "如果你想用科学的方法证明一件事，你不能直接去证明它‘是’，而是要先假设它‘不是’，然后用证据去推翻这个‘不是’的假设。这在统计学里，就叫做假设检验。因为证明是很困难，需要证明很多个条件，但是证明不是只是一条不满足必须的条件就可以了。所以顺着这个思路，一般首先默认的假设都是要求多的那个情况。\n",
    "\n",
    "比如，在法庭上，任何嫌疑人在被定罪前，都首先被假设为无罪的 (Innocent)。这个“无罪”的默认状态，就是我们要挑战的原假设 (H₀)。他的要求比较多，不能犯各种罪。想推翻这个假设，找到一条罪状就行。\n",
    "更进一步而言，原假设需要是一个清晰、单一的状态，用数学语言来写 罪=0，如果H0是犯人有罪，那么定义就不清晰，比如罪=1 罪=2均可。\n",
    "\n",
    "\n",
    "而我们作为“检察官”，希望证明的是与之相反的备择假设 (H₁) —— 即“嫌疑人有罪”。这通常是我们期待的、有价值的发现。-----我们想要证明的，是原假设的对立面。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf2c137f",
   "metadata": {},
   "source": [
    "## 1.2 P值与统计量"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9fa602d",
   "metadata": {},
   "source": [
    "我们收集数据，选取一个合适的假设检验方法。一般而言，每个检验方法都会有一个对应的统计量，这个统计量反映的是样本数据 偏离“原假设”（如嫌疑人无辜）的程度。统计量的值越大，说明两组数据的差异越明显，越不像巧合。\n",
    "\n",
    "随之而来的，还有证明这个统计量是否有价值的关键指标——p值 (p-value)。\n",
    "\n",
    "p值就是“证据强度”的量化指标。它回答了这样一个核心问题：\n",
    "\n",
    "“如果原假设是真的（即嫌疑人真的是无辜的），我们现在看到的这些证据，有多大的可能性会纯属巧合地发生？” p值越小，说明证据越是与“无辜假设（原假设）”格格不入。\n",
    "\n",
    "eg：当检察官证明了“如果嫌疑人是无辜的，发生这种事的概率只有十亿分之一（p值极小）”，陪审团和法官会怎么想？他们会想：“看来他很可能不是无辜的，也就是说，他很可能是有罪的 (H₁)！”\n",
    "\n",
    "\n",
    "我们需要一个“定罪标准”，在统计学中，这个标准通常是 0.05 (即5%)，也叫显著性水平 (Significance Level)。\n",
    "\n",
    "- 当 p-value < 0.05 (原假设对立面的事件发生概率小)，拒绝原假设\n",
    "- 当 p-value ≥ 0.05 (原假设对立面的时间发生概率大)，接受原假设\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a14d09b1",
   "metadata": {},
   "source": [
    "此外，你可能还看到过一个指标，置信区间，它的含义如下：\n",
    "- 落在置信区间内 = 我们观测到的现象很可能是在 原假设为真的情况下，纯属巧合发生的= 接受原假设\n",
    "- 落在置信区间外 = 备择假设证据确凿，不是巧合\n",
    "\n",
    "\n",
    "也就是从统计量-p值-显著性-置信区间 这一条假设检验范式。\n",
    "\n",
    "记忆口诀：p越小，落在置信区间外，越拒绝原假设。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3cfdb86d",
   "metadata": {},
   "source": [
    "# 一、白噪声"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0ce77e2",
   "metadata": {},
   "source": [
    "首先，我们思考一下我们一直追求的目标都是什么？都是训练一个能够学习到规律的模型。\n",
    "\n",
    "之前的结构化预测（样本独立无关）的机器学习模型，他在预测的时候，如果数据本身就没价值，比如特征和样本毫无关系，你生成一些随机数作为特征，再随机一些数成标签，一样可以训练，但是模型注定也学不到什么东西。\n",
    "\n",
    "所以需要明白，对数据本身就有要求，比如我最开始绘制下热力图发现特征和标签没啥关系，这个时候就不太正常。\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b2abb37",
   "metadata": {},
   "source": [
    "## 1.1 白噪声的定义"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6187ad8e",
   "metadata": {},
   "source": [
    "在时序预测中，这种要求会更加苛刻，你设想一下，你可以制造一个随机的序列，然后让模型来学习，这注定也是不可能实现的。也就是说 数据本身要具备可预测性。一个完全随机的序列（学术上称为“白噪声”）是不可预测的。它的未来值与过去值没有任何相关性。任何模型试图从中学习规律，最终都只会是徒劳。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "492de94f",
   "metadata": {},
   "source": [
    "什么叫做白噪声呢？他需要满足以下条件：\n",
    "1. 均值为0\n",
    "2. 方差恒定\n",
    "3. 自相关性为0（即过去的值对未来的值没有影响）"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e29adff9",
   "metadata": {},
   "source": [
    "我们来生成一组随机序列"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a8efd26a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "生成的前10个数据点:\n",
      "[ 0.49671415 -0.1382643   0.64768854  1.52302986 -0.23415337 -0.23413696\n",
      "  1.57921282  0.76743473 -0.46947439  0.54256004]\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "# 中文显示设置\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']  # 设置中文字体\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 解决负号显示为方块的问题\n",
    "\n",
    "# --- 1. 生成随机序列数据 ---\n",
    "\n",
    "# 为了让每次运行的结果都一样，设置一个随机种子（可选）\n",
    "np.random.seed(42)\n",
    "\n",
    "# 定义序列的长度\n",
    "num_points = 200\n",
    "\n",
    "# 生成一个包含 200 个点的随机序列\n",
    "# np.random.randn() 从标准正态分布（均值为0，方差为1）中抽取随机样本\n",
    "random_sequence = np.random.randn(num_points)\n",
    "\n",
    "print(\"生成的前10个数据点:\")\n",
    "print(random_sequence[:10])\n",
    "\n",
    "\n",
    "# --- 2. 可视化序列 ---\n",
    "\n",
    "# 设置图形大小\n",
    "plt.figure(figsize=(12, 6))\n",
    "\n",
    "# 绘制线图\n",
    "plt.plot(random_sequence, label='Random Sequence (White Noise)')\n",
    "\n",
    "# 添加标题和标签\n",
    "plt.title('Visualization of a Randomly Generated Sequence', fontsize=16)\n",
    "plt.xlabel('Time Step (时间步)', fontsize=12)\n",
    "plt.ylabel('Value (值)', fontsize=12)\n",
    "\n",
    "# 添加一条水平线，表示序列的均值（接近于0）\n",
    "plt.axhline(y=0, color='r', linestyle='--', label='Mean (均值 ≈ 0)')\n",
    "\n",
    "# 显示网格和图例\n",
    "plt.grid(True, linestyle='--', alpha=0.6)\n",
    "plt.legend()\n",
    "\n",
    "# 显示图形\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d530ee9c",
   "metadata": {},
   "source": [
    "其中plt.plot() 的核心功能就是直线，把每2个点用直线连起来，构成了这个时序图。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1cd99b21",
   "metadata": {},
   "source": [
    "## 1.2 ACF检验\n",
    "为了检验这组随机数是否是白噪声，我们来进行如下操作\n",
    "\n",
    "其中，acf假设的是在滞后 k 阶上，序列的自相关系数为 0 (ρₖ = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "09896535",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- 开始检验白噪声属性 ---\n",
      "1. 序列的均值: -0.0408\n",
      "   (结论: 均值非常接近0，满足条件。)\n",
      "\n",
      "2. 序列的方差: 0.8624\n",
      "   (结论: 方差接近于1，满足条件。np.random.randn理论方差为1)\n",
      "\n",
      "3. 检验自相关性 (使用ACF图):\n",
      "   - ACF图展示了序列与它过去值之间的相关性。\n",
      "   - 对于白噪声，只有lag=0时相关性为1，其他所有lag的相关性都应在蓝色置信区间内（统计上不显著）。\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.graphics.tsaplots import plot_acf \n",
    "print(\"--- 开始检验白噪声属性 ---\")\n",
    "\n",
    "# 检验 1: 均值是否接近 0\n",
    "mean = np.mean(random_sequence)\n",
    "print(f\"1. 序列的均值: {mean:.4f}\")\n",
    "if -0.1 < mean < 0.1:\n",
    "    print(\"   (结论: 均值非常接近0，满足条件。)\\n\")\n",
    "else:\n",
    "    print(\"   (结论: 均值偏离0较远。)\\n\")\n",
    "\n",
    "# 检验 2: 方差是否恒定（且接近理论值1）\n",
    "# 对于我们生成的数据，方差恒定是与生俱来的。我们主要检查其值。\n",
    "variance = np.var(random_sequence)\n",
    "print(f\"2. 序列的方差: {variance:.4f}\")\n",
    "if 0.8 < variance < 1.2:\n",
    "    print(\"   (结论: 方差接近于1，满足条件。np.random.randn理论方差为1)\\n\")\n",
    "else:\n",
    "    print(\"   (结论: 方差偏离1较远。)\\n\")\n",
    "\n",
    "\n",
    "# 检验 3: 自相关性是否为 0\n",
    "# 这是最核心的检验。我们通过绘制ACF图来完成。\n",
    "print(\"3. 检验自相关性 (使用ACF图):\")\n",
    "print(\"   - ACF图展示了序列与它过去值之间的相关性。\")\n",
    "print(\"   - 对于白噪声，只有lag=0时相关性为1，其他所有lag的相关性都应在蓝色置信区间内（统计上不显著）。\")\n",
    "\n",
    "# 创建一个新的图形来绘制ACF图\n",
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "plot_acf(random_sequence, lags=30, ax=ax) # 我们查看前30个滞后的相关性\n",
    "ax.set_title('序列的自相关函数图 (ACF Plot)')\n",
    "ax.set_xlabel('Lag (滞后阶数)')\n",
    "ax.set_ylabel('Autocorrelation (自相关系数)')\n",
    "plt.grid(True, linestyle='--', alpha=0.6)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "3df89e3b",
   "metadata": {},
   "source": [
    "我们介绍下这个ACF图如何看，他是用来检验自相关性的\n",
    "\n",
    "- 纵轴是自相关系数，表示相关性强弱。\n",
    "- 横轴是滞后阶数（Lag）。Lag=k 代表序列在 t 时刻的值与 t-k 时刻的值之间的相关性。\n",
    "- 蓝色的区域是95%置信区间。可以理解为一个“无关紧要”的区域。如果相关系数的柱子落在这个区域内，我们就认为它的相关性从统计学上看不显著，可以当作是0。\n",
    "\n",
    "观察我们的图：\n",
    "- 在 Lag=0 的地方，柱子顶到了1。这很正常，因为任何数据和它自己都是100%相关的。\n",
    "- 在所有其他的滞后阶数（Lag > 0），所有的柱子都完全落在了蓝色区域内部。落在置信区域=无关紧要\n",
    "\n",
    "这也说明，ACF图清晰地显示，除了自身相关外，该序列的过去值对当前值没有任何显著的线性相关性。\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "238f26b0",
   "metadata": {},
   "source": [
    "## 1.3 PACF检验"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92582480",
   "metadata": {},
   "source": [
    "实际上，除了acf检验，还存在pacf检验，他是假设：k 阶偏自相关系数为 0，这句话的意思是控制了中间所有滞后项（y (t-1), y (t-2), ..., y (t-k+1)）的影响后，y (t) 与 y (t-k) 之间无直接线性关联\n",
    "\n",
    "- ACF (自相关)：衡量 y(t) 和 y(t-k) 之间的总体相关性，包含了所有中间时刻（t-1, t-2, …）的间接影响。\n",
    "- PACF (偏自相关)：衡量 y(t) 和 y(t-k) 之间的直接相关性，剔除了所有中间时刻的干扰。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a863b60d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.graphics.tsaplots import plot_pacf # 引入PACF图\n",
    "# --- 绘制PACF图 ---\n",
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "plot_pacf(random_sequence, lags=30, ax=ax)\n",
    "ax.set_title('序列的偏自相关函数图 (PACF Plot)')\n",
    "ax.set_xlabel('Lag (滞后阶数)')\n",
    "ax.set_ylabel('Partial Autocorrelation')\n",
    "plt.grid(True, linestyle='--', alpha=0.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7819a4c",
   "metadata": {},
   "source": [
    "几乎和ACF图一模一样，所有滞后项都落在蓝色置信区间内。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d163ab9e",
   "metadata": {},
   "source": [
    "## 1.4 Ljung-Box检验\n",
    "\n",
    "- ACF 图：像是在看一支足球队里每个球员（每个滞后项）的表现。你可能会看到某个球员（某个lag）稍微跑出了边界（置信区间），但这可能只是偶然。\n",
    "\n",
    "- Ljung-Box 检验：像是球队教练做的赛后总结。它不只看单个球员，而是综合评估整个球队（比如前10个或前20个滞后项）的整体表现，然后给出一个明确的结论：“我们这支队伍（这个序列）整体上有没有形成有效的配合（自相关性）？\n",
    "\n",
    "Ljung-Box 检验也属于自相关性检验，但是更加专业。\n",
    "\n",
    "\n",
    "汇总下之前的检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "42d620e2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1. 序列的均值: -0.0408\n",
      "2. 序列的方差: 0.8624\n",
      "\n",
      "3. 检验自相关性 (使用ACF图)...\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "==================================================\n",
      "4. 进行严格的白噪声检验 (Ljung-Box Test)\n",
      "==================================================\n",
      "   - 原假设(H₀): 序列是白噪声。\n",
      "   - 判断标准: 如果 p-value > 0.05，则接受原假设，认为序列是白噪声。\n",
      "\n",
      "Ljung-Box检验结果:\n",
      "      lb_stat  lb_pvalue\n",
      "10   8.849179   0.546474\n",
      "20  18.264036   0.570020\n",
      "30  21.000649   0.887868\n",
      "\n",
      "--- 检验结论 ---\n",
      "在滞后30阶时，p-value (0.8879) 大于 0.05。\n",
      "结论：我们无法拒绝原假设，该序列是白噪声。\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "# 引入Ljung-Box检验的函数\n",
    "from statsmodels.stats.diagnostic import acorr_ljungbox \n",
    "\n",
    "# --- 您的原始代码部分 ---\n",
    "np.random.seed(42)\n",
    "num_points = 200\n",
    "random_sequence = np.random.randn(num_points)\n",
    "\n",
    "# --- 白噪声属性检验---\n",
    "mean = np.mean(random_sequence)\n",
    "variance = np.var(random_sequence)\n",
    "print(f\"1. 序列的均值: {mean:.4f}\")\n",
    "print(f\"2. 序列的方差: {variance:.4f}\\n\")\n",
    "print(\"3. 检验自相关性 (使用ACF图)...\")\n",
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "plot_acf(random_sequence, lags=30, ax=ax)\n",
    "ax.set_title('序列的自相关函数图 (ACF Plot)')\n",
    "plt.show()\n",
    "\n",
    "# --- 新增：使用 Ljung-Box 检验进行严格的白噪声检验 ---\n",
    "print(\"\\n\" + \"=\"*50)\n",
    "print(\"4. 进行严格的白噪声检验 (Ljung-Box Test)\")\n",
    "print(\"=\"*50)\n",
    "print(\"   - 原假设(H₀): 序列是白噪声。\")\n",
    "print(\"   - 判断标准: 如果 p-value > 0.05，则接受原假设，认为序列是白噪声。\")\n",
    "\n",
    "# 执行Ljung-Box检验\n",
    "# 我们通常会检查一系列的滞后项，比如前10、20、30个\n",
    "# 函数返回一个包含统计量和p值的DataFrame\n",
    "ljung_box_result = acorr_ljungbox(random_sequence, lags=[10, 20, 30], return_df=True)\n",
    "\n",
    "print(\"\\nLjung-Box检验结果:\")\n",
    "print(ljung_box_result)\n",
    "\n",
    "# --- 结论解释 ---\n",
    "print(\"\\n--- 检验结论 ---\")\n",
    "# 我们可以检查最后一个（最严格的）p值\n",
    "# .iloc[-1] 获取最后一行, .loc['lb_pvalue'] 获取p值\n",
    "last_p_value = ljung_box_result.iloc[-1]['lb_pvalue']\n",
    "\n",
    "if last_p_value < 0.05:\n",
    "    print(f\"在滞后30阶时，p-value ({last_p_value:.4f}) 小于 0.05。\")\n",
    "    print(\"结论：我们拒绝原假设，该序列不是白噪声。\")\n",
    "else:\n",
    "    print(f\"在滞后30阶时，p-value ({last_p_value:.4f}) 大于 0.05。\")\n",
    "    print(\"结论：我们无法拒绝原假设，该序列是白噪声。\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf74aae9",
   "metadata": {},
   "source": [
    "- 第一列 lb_stat 是Ljung-Box统计量的值。\n",
    "- 第二列 lb_pvalue 是我们最关心的p值。\n",
    "- 行索引 10, 20, 30 代表我们综合考虑了前10个、前20个、前30个滞后项的自相关性。\n",
    "\n",
    "所有的p值都远远大于0.05，代表接受原假设。p值是结论，统计量是证据，统计量的值越大，证据就越强。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e131472f",
   "metadata": {},
   "source": [
    "# 二、平稳性"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85604275",
   "metadata": {},
   "source": [
    "我们刚刚通过严格的检验，确认了什么是白噪声——一种完全随机、不包含任何可预测规律的序列。那么，一个至关重要的问题就浮现了：如果一个时间序列 不是 白噪声，那它是什么样的？\n",
    "\n",
    "一个序列之所以不是白噪声，正是因为它违反了白噪声的三大铁律之一或多个。\n",
    "\n",
    "先看相关性，这是最关键的一点。一个序列的价值在于它的过去能在一定程度上预示它的未来。这种“前后关联”的特性，就是自相关性。通过ACF图可以捕捉这种关系。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "993d79ae",
   "metadata": {},
   "source": [
    "## 2.1 平稳性的定义"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2923d705",
   "metadata": {},
   "source": [
    "然后我们来看均值和方差，他们不为0，意味着他们可以变化也可以不变化。所以我们要引入平稳性（Stationarity）和非平稳性来进一步细分这个模式。\n",
    "\n",
    "\n",
    "一个平稳的序列，其统计特性（如均值、方差variance）不会随时间变化而变化。这使得序列中的规律是可重复、可学习的。\n",
    "\n",
    "非平稳的例子：一个持续上涨的股票价格（均值在变），一个夏天销量高、冬天销量低的冰淇淋销售数据（存在季节性，均值也在周期性变化）。\n",
    "\n",
    "\n",
    "所以，在寻找规律前，我们首先要问：这个规律本身稳定吗？如果一个序列的均值和波动性总在变，那我们今天学到的规律，明天可能就失效了。因此，检验序列的平稳性，是时序分析中至关重要的一步。它是很多经典模型（如ARIMA）能够有效工作的前提。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8de03e59",
   "metadata": {},
   "source": [
    "## 2.2 ADF检验（单位根检验）"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "258f7702",
   "metadata": {},
   "source": [
    "ADF检验是一个假设检验，ADF检验的唯一目的就是判断一个时间序列是否平稳（Stationary），一个序列如果其统计特性（如均值、方差）不随时间推移而变化，就是平稳的。白噪声看起来乱，但是实际上他确是平稳的。\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "你只需要记住它的两个假设和判断规则：\n",
    "\n",
    "- 原假设 (H₀): 序列是非平稳的（存在单位根）。\n",
    "- 备择假设 (H₁): 序列是平稳的。\n",
    "- 判断规则: 我们主要看输出的 p-value。\n",
    "  - 如果 p-value < 0.05：我们有充分的理由拒绝原假设，采纳备择假设，即认为序列是平稳的。\n",
    "  - 如果 p-value ≥ 0.05：我们无法拒绝原假设，即认为序列是非平稳的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b6f925b2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "开始进行ADF平稳性检验...\n",
      "ADF统计量 (ADF Statistic): -14.7442\n",
      "p值 (p-value): 0.0000\n",
      "临界值 (Critical Values):\n",
      "    1%: -3.4636\n",
      "    5%: -2.8762\n",
      "    10%: -2.5746\n",
      "\n",
      "--- 检验结论 ---\n",
      "p-value (0.0000) 小于 0.05，我们强烈拒绝原假设(H₀)。\n",
      "结论：该序列是平稳的 (Stationary)。\n",
      "\n",
      "补充判断：ADF统计量小于5%的临界值，同样表明序列是平稳的。\n"
     ]
    }
   ],
   "source": [
    "# 引入ADF检验的函数\n",
    "from statsmodels.tsa.stattools import adfuller \n",
    "\n",
    "\n",
    "# --- 新增：使用ADF检验来判断平稳性 ---\n",
    "\n",
    "print(\"开始进行ADF平稳性检验...\")\n",
    "\n",
    "# 执行ADF检验\n",
    "# adfuller()函数会返回一个包含多个结果的元组\n",
    "adf_result = adfuller(random_sequence)\n",
    "\n",
    "# 提取并展示主要结果\n",
    "adf_statistic = adf_result[0]\n",
    "p_value = adf_result[1]\n",
    "critical_values = adf_result[4]\n",
    "\n",
    "print(f\"ADF统计量 (ADF Statistic): {adf_statistic:.4f}\")\n",
    "print(f\"p值 (p-value): {p_value:.4f}\")\n",
    "print(\"临界值 (Critical Values):\")\n",
    "for key, value in critical_values.items():\n",
    "    print(f'    {key}: {value:.4f}')\n",
    "\n",
    "print(\"\\n--- 检验结论 ---\")\n",
    "# 根据p值进行判断\n",
    "if p_value < 0.05:\n",
    "    print(f\"p-value ({p_value:.4f}) 小于 0.05，我们强烈拒绝原假设(H₀)。\")\n",
    "    print(\"结论：该序列是平稳的 (Stationary)。\")\n",
    "else:\n",
    "    print(f\"p-value ({p_value:.4f}) 大于或等于 0.05，我们无法拒绝原假设(H₀)。\")\n",
    "    print(\"结论：该序列是非平稳的 (Non-stationary)。\")\n",
    "\n",
    "# 也可以通过比较ADF统计量和临界值来判断，结论是一致的\n",
    "if adf_statistic < critical_values['5%']:\n",
    "    print(\"\\n补充判断：ADF统计量小于5%的临界值，同样表明序列是平稳的。\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6edf957b",
   "metadata": {},
   "source": [
    "# 三、 季节性"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2eeeb15b",
   "metadata": {},
   "source": [
    "季节性（Seasonality） 是指时间序列中以固定的、已知的频率重复出现的模式或周期性波动。\n",
    "\n",
    "\n",
    "把它想象成数据的“心跳”或“呼吸”。它是有规律、可预测的。举例：\n",
    "\n",
    "- 冰淇淋销量：每年夏天达到高峰，冬天降到谷底。这个模式以12个月为周期重复。\n",
    "- 工作日用电量：每天早上8点开始攀升，中午稍降，下午达到另一个高峰，晚上回落。这个模式以24小时为周期重复。\n",
    "- 零售业销售额：每年第四季度（受节假日影响）最高。这个模式以4个季度为周期重复。\n",
    "\n",
    "\n",
    "关键点：频率是固定的和已知的（年、季度、月、周、日）。这与“周期性”（Cyclical）不同，后者的模式长度可变且不固定，比如商业周期。\n",
    "\n",
    "\n",
    "季节性是数据中最强大、最明显的预测信号之一。如果一个模型不能识别和利用季节性，它的预测结果将会出现系统性的、周期性的巨大误差。\n",
    "例如，一个不考虑季节性的模型在预测12月份的零售额时，可能会基于11月份的数据给出一个平稳的预测，完全错过圣诞节带来的销售高峰。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9997d22c",
   "metadata": {},
   "source": [
    "如果一个序列存在季节性，它的ACF图会呈现出非常独特的形态：在代表季节性周期的滞后点上出现显著的尖峰。对于月度数据（年度季节性，周期为12），在 lag=12, 24, 36, ... 的位置看到很高的相关性柱子。因为今年1月的数据和去年1月的数据高度相关，和前年1月的也相关。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "94c11e6f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- 方法一：肉眼观察 ---\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "# 显示中文\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']  # 设置中文字体\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "# --- 1. 创建一个带季节性的序列 ---\n",
    "# 我们模拟一个为期5年的月度数据（60个点）\n",
    "num_points = 60\n",
    "time = np.arange(num_points)\n",
    "\n",
    "# a. 创建一个线性趋势\n",
    "trend = 0.5 * time\n",
    "\n",
    "# b. 创建一个季节性成分（周期为12个月）\n",
    "# 使用sin函数来模拟年度周期性波动\n",
    "seasonal_component = 15 * np.sin(2 * np.pi * time / 12)\n",
    "\n",
    "# c. 创建一些随机噪声\n",
    "np.random.seed(10)\n",
    "noise = np.random.randn(num_points) * 2\n",
    "\n",
    "# d. 合成最终序列\n",
    "seasonal_data = trend + seasonal_component + noise\n",
    "\n",
    "\n",
    "# --- 2. 开始检验季节性 ---\n",
    "\n",
    "# 方法一：肉眼观察\n",
    "print(\"--- 方法一：肉眼观察 ---\")\n",
    "plt.figure(figsize=(14, 6))\n",
    "plt.plot(seasonal_data)\n",
    "plt.title('带趋势和季节性的时间序列图', fontsize=16)\n",
    "plt.xlabel('时间步 (月)')\n",
    "plt.ylabel('值')\n",
    "plt.grid(True, linestyle='--', alpha=0.6)\n",
    "plt.show()\n",
    "# 观察：我们可以清晰地看到一个整体上升的趋势，以及每年重复的波峰和波谷。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "061f5a96",
   "metadata": {},
   "source": [
    "通过肉眼能清晰地看到数据像波浪一样，一边整体向上（趋势），一边规律地起伏（季节性）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6d1e8509",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "--- 方法二：ACF图 ---\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 方法二：ACF图\n",
    "print(\"\\n--- 方法二：ACF图 ---\")\n",
    "fig, ax = plt.subplots(figsize=(14, 6))\n",
    "plot_acf(seasonal_data, lags=30, ax=ax)\n",
    "ax.set_title('季节性序列的ACF图')\n",
    "plt.grid(True, linestyle='--', alpha=0.6)\n",
    "plt.show()\n",
    "# 观察：ACF图不仅整体缓慢下降（表明有趋势），更重要的是在lag=12和24的位置出现了明显的峰值！"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "075846ce",
   "metadata": {},
   "source": [
    "在 lag=12 和 lag=24 的地方，出现了两个非常突出的“尖峰”，这就像是季节性在ACF图上留下的“指纹”，明确告诉我们存在一个周期为12的规律。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "45ae539e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "--- 方法三：序列分解 ---\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 方法三：序列分解\n",
    "print(\"\\n--- 方法三：序列分解 ---\")\n",
    "# 使用statsmodels进行分解（假设为加法模型）\n",
    "decomposition = seasonal_decompose(seasonal_data, model='additive', period=12)\n",
    "\n",
    "# 绘制分解图\n",
    "fig = decomposition.plot()\n",
    "fig.set_size_inches(14, 8)\n",
    "plt.suptitle('时间序列分解图', y=1.02, fontsize=16)\n",
    "plt.show()\n",
    "# 观察：分解图清晰地将数据拆分成了趋势、季节性和残差。季节性部分呈现完美的年度周期，而残差看起来像随机噪声。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b163f9d5",
   "metadata": {},
   "source": [
    "序列分解图：\n",
    "1. Trend图：捕捉到了数据长期、平滑的上升趋势。\n",
    "2. Seasonal图：完美地提取出了那个每年重复的、固定的波动模式。\n",
    "3. Resid图：剩下的残差部分，看起来杂乱无章，非常接近白噪声。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "daa75309",
   "metadata": {},
   "source": [
    "其中，这个残差是非线性的部分，并不一定是白噪声，这意味着残差的规律有可能是可以被学习的。传统的时序模型无法处理非线性的部分，但是可以学习趋势和季节性。这才是后续一切工作的由来。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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IZ7Xyn7ps8SVIFWLV2yiFzemDD7hVOBTT6BQ65MdFay97QQhf9pp4vGwMaTkilXZmEZGG++VL7xR7d/gbkeaWzTdl3GPZfqavMXAUCACBQhMoWiksTZWjbWJj38L80Bk8iQFPmxNmEt70H6ohs0xKTmxrRBuHnZ+Ym4Ic1AbnUlrqKVe9Uq/GbpM6S0hVJ36N6pvqG/O8Hectu5RQ00RgBNYZsKk5tE23bMpZb2GhC1OT/e0dbS1NwkeWldPYSVju3985xmS0rpy5/HDI3/pSaW5ZfwKTAlVHzxKvR+qFWXq8lWhQpj6ZJYx9L7Z+QDxzUQD2pPgh84ZIbFFhLB9EhqubLwF7siPgSm3MVgprsc7WS3QOLlaQY9EuOX5ZXTjG3ZmM76MiKbw02GSyHxMD9tUxWQqzFv4WmwxtcL7CX7osq67dziymiGQlhXkMDd1XIKS56fghnTqXPfizqzCQCggAgYITcEkK23x0lkbwplaGR7GNRoZnVjRq3kDf7+gH5aar97kjgR99AaQRJBovDQ8GD9JZDsiY6qu/NL6tPhLOOj8RsYg28Yc6InEW3d3YXdElM+a+bw2IeWnCFNT2SLj62WgdEaUYOxSKn/TqSArzaNDswx9zpzNFc6ttGvhPHnpC7qKQt0Z7ODK1ltI2E7MT/ddb6+jz0mm1yuvZxTxO+6I442+TtRCXemOVKTmTwrr7klHYbds8IHYBUYBcpDA4SDB+hfrXSW20F2Gi6eOON+YmFJlFt2S5aQrVVxeetrAKk7Z3Yg6vFsHH0kRZsp9SJWT2WlKBRf1HvsLcNc7Ku3d9k7l4hWJM3KNMaFXXv2ii/mf7Zumk8Ea068rQtNFBgkth6VrsQrr3MUWW/zTcBfU/QbOH9T7K1NPPNKW4UJUQrgsEgEBOBFySwvoypOb7O/FsXLybN526pkd/BvMPNjSCjT1TbBHOjeTK06G2My1NZ7r7H0WHfhzqv9Xd1h5q6B5NbGx3OBsnnV/qQYgE3dQJppO9XS21lYebUGTQlkYx4YyET+KO0Yc6x1KatjrUQBVz69BGRimsicj5eKkkOj2RR8rEUphFgzbwt/iJHiKZn15WVXksEOwMD43PJzY0EYWeTS9DTziVXJmdiNwLX20nq3W03slmWTtj3TD+dsIf5zVzR/ZcJNss7qnHy6y5chopACqfFM/9EAJ1LLLpBy18p3kjw3pvrIfOzUHiRLdZIcl7mONy+u/sRsLwO3sCTmoj050WL5qufTCPkPGe4F1kkWVBQmgcaxy7mrnQ1IXHaNhg2UGCBxJGd8nLkJcUTusaJ2zSoZhGI5eLEJkGq7Bwa5atJOZtbqnVxSmnrZyvqmEgbL0wkx1DsvyeePtyeRaWn9SyrzqQEggAgQIRcF8Kr49eInFzWMBzGymcjN8KizDyfK4unbFLtEVj3w9sGQibhszjC8Ucf3DP9Vnk3/nxBTzp7VSVH/R7GChUjOVIgC96dLB1aFmTo2YevTWP5CV3FMYNMe/JbEca0qpydQNr2qMOj9cfuD9EO4ycrcJLmraZMq0+yn02bIuRK2X79Pnzp3mm7b8ta5qs7w0F2xhtI4/MJxnSDGmy+Sk64yzyEYmz7bm34blkc5e7L42T2shf3myErzlNcNBiQbjg8NpKUkhhPq3W4nSsAnkZ3JXCbIYfugqtvZKlNodqwV9e3eKX7C6qLo1HQQrngBOSAoE9ScBdKZx40lvHgtd4iJKTVoEXnfHW2tB5HMzLMmi8mBXU2PfMsl2rKCUG1Pbe/uHR+PLOsQrTT41VdSfIvP7GvmfJBHPuWPmlo5obawk9WRnj6PGapnHRSRZYZn1AOrMfP8VzYnBlI9KGYmSyHsXSsCGUlkV3ZTnnnXtyi8nsJg9CFljX6ZvnRHzga7N7t1S9ljuZFOa0zcIiqz0sHwsEgnkuUhiswhYot3WXk9qYQsthWPxN/6u85k6g75lFGjQVdR0t2cMM/8hXmCzWU3l9hi5pcWGUxR2X4wrTyL4kpjuv0nopLIUAYktmkAacmzZYeEHqI5FIcQOzaDRY4tAdOoCv75k1SOFcnOtQFBf+8kqvCR/to6kILALa4VreKKF3k6zTZGqUdEZ04yRFfi1xR7oGxLLx3NbaBxcDAkAgHwKuSeGtZPx6k/iy/0HnGFN4rDWkWi21MBSUFmigocuXZ/qvd7S1t9ah730dMSoLkANAan1tZWmy70x98Jcky4otLLyVjN9qKS9r7HuWD4u8z3HQ+eGQyeK7IWvNk7rVKDyYHgpSxi3EhzqYBX3yElv9iISV4D2ZGGnQG5vsaem+g5x3NY3EVzoUuPrjPAoUj+zorJW3bM2FLDP0AShr9hSytUdyjUj62ryx8xMd8Cd5WDk48pB/ln6BSTrc4rT5TeW24VgKU+9SHvotaylMXU5ZSDgOEzYcEnBcG03XT0ZItGBetdj6DqaUeAd7H/GrSoyv+zsv4cAy1TdmElRqy6vNUWFNgvLyKq2XwhZvt40Upi1J8AGXwtTFqOfRWop4Kv/QXcebMl9NU9cgWscHTRGRGiLLIahhJ3p9WMMlB1pha8jr4itLYdoxSWMcHh1N1uKJVpTba3AZjnZPJrTN+F872q4P9nc2kenanuPhRV0u8AMIAIGdQcAlKbw5xpds4Mv2MCCspfZXd0buXJFWXvD6q3lgc9YS4TYrxKRwKMIW+0H7j3T3X2fGEl/j1VudeM0k3GQfD1usE8EKoPxfB53fUt/xquCDTcaksW9hc3G4s5qb0r3+6vboypaWeNQpWYhDTAdLESGYZwjvyUQjTm+Y9Rn7G3uers0RTSxYsKN5SOEBujYeC3RaU8qN2RaLn/HYnDrfPlGQ3Lcc8Le/mKiBFuqfn6Yz4411kwVmPb7WO0t6u92zwSYaXa4mOLwkLH9MUvMMxYYoABsgiWNiiz9urpNy20ijxcVFYCsHAoprY3Kyi6yZjFq8et4IHL0hrTWoLx1rTHC93UqStdNIrWh7xF5zg6Yk8u4WWv6Q16g8pbDk+cCzIlcnLVLiSVgM6VkxSo7x2OfpSmis2xdGpZkS4jWhS+55cShlBkeEaT/eeJRc1+4jpPgOyb6tLUfb6PJ4YkhQ/uXgEIvSTW/we7J+JLsk/AsEgMAOIeCSFEbrovWhFrymacDYZLOWWrQpqB0pq7/6iNmNNbHcZemh2upTg0M0AFBLoIWcVVF9Ba24ZpFVWf0lvMLZdvJ30vmN/Ti0IgyruDVni+dRJlvJ2DW6LAJpcKs7J+Uli1PLM3c6A9VXRskt8+7HKIXZvG80DcuixWY9UO5S2IA68aSXxT/2B+5Lz5SmYxfy6nz7DJnk9NMJf9sLCSWaTgqL05OjQWboKqlrlRegkr57VNR9j9y7s/pPFED08eYT+eM2qgQmMjLsBylsZupsj8LaKNUcFF665xmPwICawfLzQ6ZVJ1HRWasY6v+lo/pCVCwdjKbJcm8BOiKV/ZeIwxKvUXopzGMF8nWSO8i8T3Y5Y1zhyiujd86T5hqHdbs/dOfHwasn2aqWXrx28fro1WNsjqkPr9Zut+SNZfShqTVxd170zRD9x70jmHVAF6bdW9s1tSkW1/yg07wMB8pkrJsM7Ju+nyArLaP3iI/wddsVpccCwfbuvkdLxjVAcXHgf0AACBQ/AdekMJryNRGbldx2tzZXpqJ97YFq+kGfS2Gqa3WwNpIrq2jNOfIfa21DsYVw08nuyMLmyv1Q5bHO/i5iFW48Sg0nNYH7Klf0ZdfP8K/zzo/dIBU9iQedDVjrJ+Jh3cptTN+Q8MOWxeI9GXPdo6lE4Ij9nfoFOkgCplAdSeHNxR9D5bzDYN7MunIu8Zk96RSe7pRMP5zzt7iCUKJZSeFEPHz1fKBaRJ2j1bvkHWYF99UELSqnvWck93nw8nXszNPnZ/5L7126OB7pOltb4q0I/CDZnlfXhs5XeA42Bq6FI090+1fSmKUtoMCuzATU1MbUUkT3xaym6Qc8iKImBtZ4ltUHb42SIGi8ZKwxwWnqwovJaJA0ub76tmEu1+j7bnZS4g0IOcSWXmvptxg/o2vO3WADdTKs+iVkGn2RNygZu8B1cEV15wQdz0uudOkdP/gN6jaYL4QIec73sGGe/EmtvH0UdSvyfGVkPeFYpLw35iOdgUr+gQ6t4cxnqoTujEuf6fY3mp+ClBFsAgEgUOwEXJPCSMuuzY1HUeSs84Fqq5iyHm9FZUtvTFoTWE8ruUK/Mi/dIcZgotJS8/1f8iaVdAmhmGSTc2NpX33BjL+cd36s95LU4breXRh7j4zdsna/lgskpsR5K6ovhLETXrT/egv/tOppifAxhnSiTgobZ8IJhUcjNFFfiM4JmsPW5tyjcJAbeLx+D/n4uDxD1pajLgFLM/1n+bMLRRTF+sifv/1yAJV2tyzPs7FcZHV9aeyvIcvF9jz7a+pauvuGZxaFAGXY2SDHJCOY6LFOQGV6ankmcitUJ8rs9xzpneZ4lwfJWtA08/0o5HNsVgw1pWoAm04J5F8b8ZXRR54rjcLFCD13/Qh/a77vBLOk0lpRUfpZa9fA6Bz+BkPDI+ITmwaiPdy/AicuORJouxWJTUV7UCTKlp5HsidPMrVldJAw4kitLUrOP3OPusXE6Hb0YUq0P3xI7K0NDkzMra4lkpNdR/wlR1r7yBLtUtZIrR7vHVtGBbD/b37oSkdbJ23TIsODXecDYuB9uHcan8m8I7D/VWop0s6UupcGZaf5y1OQvf6SI4GrP86sILvy2vRAL1sWh759JSd68XLx/G3F753JawIFUz8/GLdqXu1vCo4AASBQeAIuSeEkWTbZtl/fX9/QOTS9KtmMLVCIlSNoPqduxm61iLbvg86+TtLM4YYpOdrGp9/tqNXmpG+aRAqvxQx9YVlTF+s8Vu630ikaSG7iuMIGdMKcaa2iAsOW2Fkrj8cbTJpb5yAe64VRLTXTd6Ze33P7Pfyzo/DKMGV1Nqqqy8hffKQpHhUZpmLL+xEr3D3T9fb0U9RJykOBhs+YYVg+d39NEHmPMOzyoRy2cXzWI6ZC+qqOXgiPsZjNqWeRrhaDusKnHKHqwVCD4KcTAvnXRm0z3olX05QrwKGWvicmL6OtZKxTN8sCvZJ08LPUfwI/XF9jV3w+wgyx5RfCfWf4KNRUYcgVsUeBwSpsQkHjAYtGgJW24Yc1bWOUWqDrwnP6+dDm9BZ7Mqw9uZmmW2GL9WxOf4/7CF8otjFxifcIXtQo8anb9KaWI/KMbVSelkhC03deOpsxf1vpEFTbSsYHQvLUDvNSoCaAsAMIAIGiI+CSFJamc7GG0uP1l7zTFLg+OJatOcrQ8NUEf5nE/sd+j7eiunM0YVxXSdOIwdjXOmTqO1wF76Dzo+Vi0pNahdmaTCjiz1HsKSGXn6lhFjdDPoa2k7F2uz5P+i5pPIu18rlKYU1DK/zxp1xWKy2Dp2kskL6h2ys51m3slozlyeF3/vwVSGFt+rpJvnj9Hmx5xYvt4RvZWJseDredqhUxVWgt5b6bbGE/2eqcebt7TNMSPLC01196vLXrx5kVy0HG1ubc+ODVU2LcgrQL/KeaQP61EX24T3Lx6vHVNF0ftfQGJkVOLUSv8hrlk8LmPAsfPdRy55mWetJLvwUd7Iwja+vmyvhgm1QBDG8lcanKJIWF2Vh3+gfkKwRtfEhgR03bXHwUDh6ny8Lr0vMWQ95gLg12z4SGhJNPwdvlX4olnNC565N9P0yimOuPOkjTVHIiPGf5UsiOKDwQOGkW9jcGByb0rxJrJA2rgaTWpn/sbjhS4dn2rscOFOwHAkAgJwKuSWE0tq4qPVxb19IhTyHKqXAsBCYKWBN7iuXtQrjhOJ9rrLHv+EgQ8P9SO2q1OVJsdiPcIS8Zu1BbfWEQf5XjdyY20MLLxHdQ7NNtpZJL0490rqWxqSUSLEmXTvxgmszyo79IZr01dytQ/pmlCNuMfy/m2bShwM/RrMdC1tcy73UkPr4uyccAACAASURBVMzZ5boHR6YrPVRb+VkrvsGJuTTrr6aQJg5+VnW0W8GK06ykS30narP4zMKSp5LIm+VUL5ZHbCf8q4iA09q4Nd93sr6hM2rwALYrXSo5H7vV0faj3pOXuxksR4LHkSzW/4eiBy5OjcrLEEaGo2PP0Pci3uqSMMP6E9GvlXutLFYMqfMd+tFXMnahqeup/rwtGq/QfFG5DKQA+jP1v54O6Vdt7O67NzqdNpD8dHdj3fXJBAeiz4/8Si2M9l1oPCotAp9YxkEnjYltpDBLlhKOT2wX/AsEgMBOIOCeFN4Jd6+ojE47P0XF2LPZAP89++iL8MahNhbhQ4EiAQEgAATSEAApnAZOtoeg88uWlDvpgL87XCHXfAhAbcyHGpwDBIAAECgcAZDCCthD56cAooMsgL8DeHCqYgJQGxUDheyAABAAAi4TACmsADB0fgogOsgC+DuAB6cqJgC1UTFQyA4IAAEg4DIBkMIKAEPnpwCigyyAvwN4cKpiAlAbFQOF7IAAEAACLhMAKawAMHR+CiA6yAL4O4AHpyomALVRMVDIDggAASDgMgGQwgoAQ+enAKKDLIC/A3hwqmICUBsVA4XsgAAQAAIuEwAprAAwdH4KIDrIAvg7gAenKiYAtVExUMgOCAABIOAyAZDCCgBD56cAooMsgL8DeHCqYgJQGxUDheyAABAAAi4TACmsADB0fgogOsgC+DuAB6cqJgC1UTFQyA4IAAEg4DIBkMIKAEPnpwCigyyAvwN4cKpiAlAbFQOF7IAAEAACLhMAKawAMHR+CiA6yAL4O4AHpyomALVRMVDIDggAASDgMgGQwgoAQ+enAKKDLIC/A3hwqmICUBsVA4XsgAAQAAIuEwAprAAwdH4KIDrIAvg7gAenKiYAtVExUMgOCAABIOAyAZDCCgBD56cAooMsgL8DeHCqYgJQGxUDheyAABAAAi4TACmsADB0fgogOsgC+DuAB6cqJgC1UTFQyA4IAAEg4DIBkMIKAEPnpwCigyyAvwN4cKpiAlAbFQOF7IAAEAACLhNIJ4X/7el//H8vVuEvIwEAlRGRqwmAv6t4IfOcCEBtzAkXJAYCQAAIFJzAvz39j9+Tq/Lfv/Af/2ducXn1FfxlJACgMiJyNQHwdxUvZJ4TAaiNOeGCxEAACACBghOY/nWeS1+yIaQwfOnL0iQPoLIE5VIy4O8SWMg2DwJQG/OABqcAASAABApIIJ2DBLTpWT4YAJUlKJeSAX+XwEK2eRCA2pgHNDgFCAABIFBAAiCFFcCHzk8BRAdZAH8H8OBUxQSgNioGCtkBASAABFwmAFJYAWDo/BRAdJAF8HcAD05VTABqo2KgkB0QAAJAwGUCIIUVAIbOTwFEB1kAfwfw4FTFBKA2KgYK2QEBIAAEXCYAUlgBYOj8FEB0kAXwdwAPTlVMAGqjYqCQHRAAAkDAZQIghRUAhs5PAUQHWQB/B/DgVMUEoDYqBgrZAQEgAARcJgBSWAFg6PwUQHSQBfB3AA9OVUwAaqNioJAdEAACQMBlAiCFFQCGzk8BRAdZAH8H8OBUxQSgNioGCtkBASAABFwmAFJYAWDo/BRAdJAF8HcAD05VTABqo2KgkB0QAAJAwGUCIIUVAIbOTwFEB1kAfwfw4FTFBKA2KgYK2QEBIAAEXCYAUlgBYOj8FEB0kAXwdwAPTlVMAGqjYqCQHRAAAkDAZQIghRUAhs5PAUQHWQB/B/DgVMUEoDYqBgrZAQEgAARcJgBSWAFg6PwUQHSQBfB3AA9OVUwAaqNioJAdEAACQMBlAiCFFQCGzk8BRAdZAH8H8OBUxQSgNioGCtkBASAABFwmAFJYAWDo/BRAdJAF8HcAD05VTABqo2KgkB0QAAJAwGUCIIUVAIbOTwFEB1kAfwfw4FTFBKA2KgYK2QEBIAAEXCYAUlgBYOj8FEB0kAXwdwAPTlVMAGqjYqCQHRAAAkDAZQKuS+HE02hfe6D6cG1pmd/jrSg9XFv5WevVW9G5DZfvbBuzh85vG2FbXAr4W0CBXQUiALWxQODhskAACACBPAm4KYVT8/1f1ni8fqu/xr4FfYk31qbj8yn9vp3yCzq/wj4p4F9Y/nB1mQDURpkGbAMBIAAEip+Ae1I4OdRiKYLJTiGFVx51N3xQheRyXXix+IFZlRA6Pysq27cP+G8fa7hSJgJQGzMRguNAAAgAgeIi4JoUftpbye3BH3REnm2y+95MzI52fdnCrcKLtxqp2RikMGME/+ZEAMRHTrggsasEoDa6ihcyBwJAAAgoJ+CaFH4Q4n4RwV/SFTsrKZxKrqyurSS5nk6XobaBEie20dkCOr+0z8P1g8DfdcRwgawJQG3MGhUkBAJAAAgUBYHtkMKVXZOWunRxoKXycG35fuZH4asqP1xbebi2aWCJs0nEw4EjFVxVe/Y3BgcmE/ywNnEVn0LPWo5eOo59LbBBuvR4Z2RZJHVvCzo/99hmkzPwz4YSpNkeAlAbt4czXAUIAAEgoIqAa1J4ebCOO0h4/eVfhsdWjTZdYQ+WUnq8/qO3qBSe+76pRH+IaOLyC6NMDY8GWYKjV7qbUJAK/d/BUCypipVtPtD52aLZlgPAf1sww0WyIgC1MStMkAgIAAEgUDQEXJPC2mas3RA+oqLyVHdkQQji9Fbh1KOOcqpra5quj86trs096j7qI0q3KviA5COkMBLBvpqG8x1t7R2BY8KQXHplwm3a0Pm5TTh9/sA/PR84up0EoDZuJ224FhAAAkDAOQH3pLCmbSUjRjWMhGz5+aFFyWFC2IZ10+bW+k9Q+25l9wy/z5WBJmr3PRvFeUhS2NfY94wl3JrvqWPmYV8otsX2u/MvdH7ucM02V+CfLSlI5z4BqI3uM4YrAAEgAARUEnBTCuNyJuKDQcl/lwrZ4+E5Jk+tpfDqUAM1CddfHV9Dc+bI371WmsPh3mmUvySFL4zKYFL3WUqvCNwmJ1C4DZ2fQph5ZAX884AGp7hEAGqjS2AhWyAABICASwRcl8Kk3Klno1365TbqBtbIIWspHO8sNXj9Gn+GYuh8IYW5hzElJYWwaHtE97n0D3R+LoHNMlvgnyUoSLYNBKA2bgNkuAQQAAJAQCGBbZLCpMSJX0LM/dfvOTm0gvdaS2FJyFIzcP5SuLZrSiExi6yg87OAso27gP82woZLZSAAtTEDIDgMBIAAECgyAq5JYeb/oL/f+Z5jzIWXeQZbS+FnN6uZg0QP9wDW54V/Cauw7FKsaZrI1hu4s2pxpsJd0PkphJlHVsA/D2hwiksEoDa6BBayBQJAAAi4RMA1Kfygs/pKVJ4eh27gWZiFgLCyCu/vHOMCems0SINF+A0aF+XDk0kOEh45btrW5KWDTHMfIV7FLgFE2ULn5yLcLLIG/llAgiTbRABq4zaBhssAASAABBQRcE8Kk9XmKko/a21rRwHO2loaS5m69Xj9DT8wX+Hv2cLLXn91+2BkePDOI3Qofo3HYquovhCOTC2hmXOzE0O3Qkf3d2BHYZ2vMPKj+CDUdy8auRcOfsB0sHQhRcQssoHOzwLKNu4C/tsIGy6VgQDUxgyA4DAQAAJAoMgIuC2FhSSVXX7LzwzxCBLaQvio3g+YToDbmu87bn26x0vmzOmkcOlBLp2ls6RQFe6Rh87PPbbZ5KyQ/z+2tjY33/6e2oS/LAlsbr79x5b4TJPN89rdaRTWxt0NCu4OCAABIFAkBFyTwsujV0/VmteKK3mn6dKP82ytOAph7oeWcslgLGJBpJYiV3S2ZKSny6rqroySKXf6CBKTY5310hUrqq9EV7alj4bOr7C1WQn/VGoz+dvGq8Rv8JcHgeRvG6mUWD2nsPWhsFdXUhsLewtwdSAABIDAniLgmhSmFDcTPCTw6tpK0r6zTCVZ8OCktP4GzmVLzsRwVEybowJ6g+aTMObi4mOFzs9FuFlk7ZD/P//5z99ev8lD/8EpBgK/vX7zz3/+M4sntpuTOKyNuxkN3BsQAAJAoCgJuC2F3b5pkxR2+4JW+RdH57e5spq0Kl1u+4y2vTRDlNwydjG1E/5//PEHGIMNitbJz+RvG3/88YeLD7vos3ZSG7O/udS6wSigPxWbDxyaA1LJtZXVZGpbPqzpS2/7K7Vhb0yxPUl/YGPTwkhiuVN/XkF/rU0PRyNTdHYNL0nq2URkeGJug++w2Uht5v0QUwvzLnxZ3Zwbi0bG5i0ehM0dSLs3E2kMalI6i83k/NjU0sq64ypkkTXs2vEEQAoreITb0/mlK+hy9NKxCo+89PTG/NhwNJL+z9S2atpSX52/5J2m4K3oHNHVIsAz989OV5CCHHPCf+PN706UH5xrJrDx5veCVIMiuaiT2ohvIbm4QMe0OCIkXywzufiMj3UnL+33e46HF+3uGU/ACD6wO5zV/tgFvyfzUp2bc+OTBoc3kfuDUMn++sC9JbGHbmETBounaTpqs2NjtO2gv+RYbzw7DaWnh/NcGmwo8x+9Na+/wNqdkxXlX4anM2pK/Wnb+Avj0i+nygKG8uphV5xk5HyV51DrEHoIWFKn6xRmmOchyi1xr0We4G53gdz3o17Gk8PT30yszo8N9AZP1aOZ977WIf4eZH9tOvWoJvggj5Ozvwyk3KkEQAoreHIOOj9h1ZanFWa9TeTpZqydTRnkEeVMkxEt8jS1rdrT3ko6hbGpfxmT2dVSeGvrn2YlB3ucE9ja2rtuEg5aA03TNmOhKt7Zy2JuEUXaqQjcxx05frstokzyxkwvhbGolSYT66cps5bBONbNLIXXJ/vOoJbn6PdmsYuKgnOoujTOi8U38pDCtJUrPR+1Vd48e7wh02NH1u6c9Hu8Oj2U+CVU6vWXXxjVZbu1Ofco3HaqvvJwLfo7FmgbmEy4ZyBPTvS1d7R1R2UlysrMZoebmmurG5ROwpuJB2hZK3Z3GbsbfR0gMUn3h2JskIDt0BksLNOk4+AFwUaZsWeyLTY7Kbw803+9I/BZjQg85asq/6z16q3I9LI2/QMOS0WCU+n/34MjUPHro42t+Tu4opac6h2yGQkYi43PT00NXmrv6BsH9azDuSt/gBRW8FgddH4Z26b0HRhrueRoGycHUXuajxTejF2oov3i2Si1vNhJ4WKaI5U3/403KeeyD3IwE9h4k53hTsHLV3RZ5F0b6Z0kIwEfsvjObZF1grDZD0dkZ4JGS91v9XirLsXt790shQ+H+m1EQGQ42n++VgrLQ7NNK4U3F4c7qvFc5/Ivw3FLqbARRTdiHdY9ZymcetSBVirNxSJorRSTo8GDfk9Z69A6vs1kNLjf7znYwdUeuflYO214Sw/Vlu9njbBb8YiwQBff9BR1CjyQv7g7nLNJUpNbxrhYh0KrgLbyQ8Djq6IDMN3CVYyJaVhl/BaBq6KYCo9yxlL4WG9cnkfEtoVXD+l69tfUtXR0DYxOL+k8gtKM7vTX0rTUfD/SwRWlZFRj/H8VmWrf9ojds+5f8mgCdwz6XpcGfuwGAjtdCosvPvpx57Y+Gwedn7pWbwEtX4K6JdLEcyls7gK7mqjeNbSJy4N1tF2r7XrKAFpK4WfhurKK6s5RF80k7PrZ/Js3/8Rvr80yDvY4J5D47XU2D25Xpsm7NnIaaIH6E73xJJfCm2PXakqEDtuMnPV7fKFYGiOlWQqn/R5tKYPspHAiHg4cqUBtSFn9peElu0EPUlFef92A0cMV32aOUpjoV6+fazKUydZmyu7a+BrWUljTEuNDkQVipMTOA0KD8iegxdprmm5NrLD8UwtDAbxmk83tiBPz2CKgeKB9TZu5ozdztrUH0Me6IwEaoZ8dDRyv8nirjp412EeHpkkhCDTd3WUrhbGb+BqayL48M/0Ub6yuJTY0jc1KX4n3ouVgz0bYZHeUJt5d7/H6s5XCJg1NeiVxOu56jLqW8cWV0yjcNfMpy9E2tMhATeC+ZT1Mjl2r93gr6m7ZOy6ToenJIRuDPSsQ/LvDCex0KVwU+J13flnehhgKcxW7NNjEhrmlZWzg2zkhrMKoC8TTFJBNCM+x4OqWZ4IuL5mEWyLiWyFPzGM5s27J4/WXnLhZDA52efPPX/Pd/x90OOH1e879kn8+ucZum/5f7/Mu5Nj/msr19OzToxv8Hz/J6dGlP/uf09kGm8uySu++ZHnXRoSCSw1sJMPaor4rvrayurS4xCaxEWsrrwbSxtFbceSFKe1B2xdGUbuhQApvrowPBo9hEexFoSqNi4nqniW2/PlaI+zbuu4gWSU0bZFEevbJixvFySHkMVJWH/xxhulVesZYJ3ZpOEytuaWH8M/OCdF4GvjIP1mTmEgaDd3YEi8WSRXFc7i1MYrM0kd6p9MMbAguVjZ+QTutjxIkJy5hCah3jc1oeaHi0pKVTpUSU4u+SLg8WUths40Gf7UQjgpmXcvvnPrepJfCm4s/hnCQ1oqj14Ysp830nUfuPeUtYdlrwmxTI/cVGJZ9PKSiwOauIABSWMFjdNT55XJ90ULxNohbfw0NOt+P+hvcLaEE+GMrV7c8E03TpriXcG3XlFQmnphI4fUo+rzIrlV9bUKIZumkbd7Mm79jCTv7P4/ZSGGsWf/7/WyFY64l+emc35OXFM7qRFz493tnDaVC5xr0sayV9dvbXAeK53J510Y2EUq8X/xFYxvo/V0ZaPJ4qwI3hMvm1RN+j7fp6nB07NlvaG7+cDTy11Cl11/Xhben1lC74asqZ2Nm6v8q/cQ+AEZhgVsb3GKsz0TQGp+kYBWVLeGx1UyyYLyz1JtGf2dvFU7GLuCJEAc747JYXB5qQO4ZOq9fUge4F2nDEb8wmv4wszIliDGfkNrgX3U7zVEaRL0iLWGaqYoiaQ5b+Gn6zTJr7oeWphvCVDl3L8ws2TxzKazE8sw0+RhIDq5Hg4cwnF+woJ+K9FMXFoxdb8rlZl087qJ1QM8q0nUKjX90hXQuhTMOhJxI4dRkFx2zpXmbrA/pFD/hSQafJ7DnIccPG7uLAEhhBc/TSedHLi80LlOZrPNDryv/ZiSScRXLJa984oVRvVU4oxRekhb2w50fpyJJ4cizoSZJB5e36yea8FO2fSNv/gapl/vPXSmFf/nvtqZufL/ZSfBtrwXFcsG8ayO6AckqPP3XFuzFWN81trRIPSmTqdQEih2hC+xA3Bn5WvSYA24WdO3G/sYA+7Bu+M7e1t6BP7XbS2EyTi6rbegcms4ogtH1yew0BVJ47lYjagl1X/mxsyleiLS8fdRgEpYqAWn09K2ZdDidSVVKxjeJZi29Nsn3qNiY6TqCHKBNtvPNuRvoxkmwCzr17cuIPmAI93bAmeicVZb66phLwNZ8Tx33seanWJQdAzHWAZTu2U20HKzBQwBXMAON3KzCrkphbTNyofHScDiAGJrmdG6NBn3oa4mJAuJjkZ4aoSW/QdOZsGOnEwAprOAJOur88PWFxpUVLdvWdWlkp8VrnBxqocNc5FHHJbLOKhyKbGnEoQp1MCwTPDmdD5H1nYeQwn6PtCJgkdiDycPLm3/u2tdg5d2FUniq97N0pl8bg7GZpIL3amdmkXdtlG43Gb/eVOL1lx9EzqDlByvKzw8RbwSiNvRz5uZ7jplEp1kKG5QHTiB6fSTBddOSWPwH0hok56bms49Nm3qAYjKgFgZf1CrsQDealmDxiVwXJRetQop0cP0l/RR+qo8NdmIJH9qkDaC+NZPS5CaFlweREdqnevrUUhipzJaIlaAn5vCawBX8lV94ivN7kHRtkobyKA8x8wSzoJO2nYX4wKeUVZk/C1RSfxKTFCbeKT6McWNthbuNxJHVX9QfXCiMtL7nGfqRWqcexsSruLp7kpufV1Ynu475PTbT5lAyEvoXdz36E0meqKLiHtNUWqMh2VrapoZbjUZuCtU6PbodNFHVeL/8ScDGLiAAUljBQ3Te+XEpXHlKzIHAH/gyWYVZ8ekMa6/fQ3oInRTGUUhR54TbDq5uiRTGk9MlI7S+8+CJmS5Hkwyu20cSZeXZzn/z5m8WcHwPcgY498srrPwIHCtvBwspjL0I+LhCbFidbhDW6CdSosjsik2zmLnZUeFV4rc0fg5yAcS50o1Iz9rsZYGuK87S+zwQODh/vRuxVbLtrABFda28ayO9i/XJrhMV6C37fh5rvvqr33eiWA2HQkPPosEyv+dIbaXXL2ZZbUWD0rCWZpKrFGYEVx7d5DZjnYOBvUWZp29r77jzVNO2iKVTSGEm38W7oKuBomHRWbupDja7QJD2ymgnZjfA/mUXrb96o/sqCSWrW7WUzPEifthMtNmsJ5KaHcRfwyycMdjV8v33l1A6gbU104X8ff3lZ4bmmLSVriRJYbR3c24g1PVI77iC51JL8afxKabpd+QJWn0ZoN4ppLLFr9V4ygL9xMZqFJ2oBNLogn+HzOahm9KQYZtF10NSol4seyns2V9jkP6lZX6bgBIomoRB31PgZNByPirxh81dRQCksILH6bTzoy82es+5AZhZZXQ7uWLmBl1aemkqGzUA6KQwbgGRGaYXTS7mTQySwmv9yNFQ/ksrhX01QeupuAow5p1F3vy58DVvMEFJJ4phW6l50piFFKZZYemZpfyVr44vhB4HPRfPzzPnYyOFsYDmDgxE/upn9dmcyEQ5upz5NtlRInltiiTfxavEb3k/zZ1+Yt61UdM2p79vQRN9fPWXHiH7m9AWxDfpUG/sQfjOM+wjwT7pEC9/ZvZj8IgUvj8/NtDdF8e6weArfAiHTTSqhJb/pxs7JOgaBLlxyLAdfKDRL/s3biKBnqdVOBmnxagJEm9Xdlsaa+iM98sT0A0kx0v3E5s6syvzJtH27vRNH84qMY7HISbLtPGCef0mel1u80U2zNCLpDDxyjCumoQt6ye6jRPC+CpubLph8Bee62ZidW3FbrU205cBan0nBpR4pxSfWNOwiBfjMXyF+LUq7rojrMIsSppkFV6aezoz/WxJ2sNHI3hDsgpXnh803uAwWgckeylcerxVjNa+rEdOR776JuuhHYrUYS2Fc5royXnDxs4hAFJYwbNy0PnRq3ONKzeL5p18j04KsyaPKdqaph/m2fdB3BuREa2XLU+lk8Iabr/8Hl8NC58p+oPEo+5qNIBmf2VNXU/4FzIF3FRlkTd/g3qTf2IpLItCS3OpW1JY0r7Wl7BUtGbfBrOCtzyR33j6oyyZJQq9XAYpnFflTtxvLT9D4yGuPBkdexQd4ivrrk/G8adnTdtErlD7O0lYYSyndDGGU8szke4AdVHAXTtqNwy+wmcbS71+nUpA4uBmbDHJBcrQWb/HK9tN5/vQsDnQv6AXLpLWSSwPNaGwX73TW3j4bfDKEEzsj26tDZ3F8+Qs1Cc1UhpCSYhc2Rb20Gi6dKURKbMnOJCwr7FrbFJegBOHUjZMm9O5Z6DMyHwpX2PPrN7ayi7k8F/cnuunKaMgccnpHztRw+urCf44cwcFzsPOxJmlPG6oKXM23ZCbV6RYQwYrqeFn0wAy/K7cb0XeKfiv5EQrsotLHimWIh7fjug+dHDWk9IEa/z0+VhOl076YWV45ofxtTI6SCDpj2LAIReHtbGBEO3Oypr6rB5oanUmMm5yLKaXxG5IPIwSLwds7BYCIIUVPMm8pRi/Nn6xUbuTuxQWTZ7QrF5/9RkcipIYZrBfFzrajicK6KUw9oKqCT6YZGGYcFu2Ptn3Je6QWGvo8bbcKUYZjBDmzZ9pO6OMs/JAsJSkljtxbo6swjr3A0t5arUTF4abhIkF11QMqxP57dvfjs4FIqtkvG7vtY28a6MOFImxZZirxFLgSLRE/uKvOjzG8PJQgzR2rWwJx2aZY6VBlWJdZWMAo5cxKxviZJlulTttrf9kYx+S7PZiF2Vvf5TYfQ+29JvECjVSSl6zqdnBS9/PMCr8X/x1/mx0Gk25I61ZNHjI6HAsLO78PPMGtn2mvV/zOTnsMRNGJ2MCJcc6I3hZB8LcIp4xMXCQD32maxJW5ccbK3mfsjraY20KRS55yBmGDZZ6Hj2fu4Vc1T2HOoJnsBrGs0QapBDReAkS6hbML259O2ylj/LzfC09Gym8lUzIXYwCKaxpqeTc+GBXSyNesbnq6JXo4gYWtToHm82VqaGrp2qxwbjlziq/IXmDuHyYxLecBLZ3MgGQwgqenvPOj0vhwD1hccFWGZ0+5smEVfhJNx+7YylcU06CPBys4TNXYmjJVpQPNgINTeulsPYsHLw1T1cAQskag6EmsdalkMJyK7A5F59ZsY4YqoBnrlnkzX8XSmG9OwTxdZZ9f0EK51q7ck2fd23UNI3HxK18B4fvNTgwdE7QwuDVcEqvTGhkWRxhYBsNltU2tIdjD9AKCGxcjXtxQxSwvKQwayUaydQoSzIpGpHXXuyi09IeTS4typIIX4ZEUfDwheXRzsmrqK2rMay6lyBL8Y1L7iXI1GosbDZSmNg+0w8YjPnm8hu350ZBieecsSmMzCHEGMBB+LlZhTUgncLx8NwzNC2PVYN0JUMlEYMl/NnhUEcsSf0QIssRHJ2NL6s003XYYpEXfDutQ4Z+YTmCVyeRfV2spDD5tik/XydSODXZfz5QTbyAvEjlB2+NzqElQmb6kYmnohQtMRiKTE30dwaqcZTAkiOBNpLGmhNYha257Jq9IIUVPEonnR+5vNC4Qnri4Tj+ydsykYx3fiQuDPJ/IulDKOTZsVDsCZ6bjKzCnZd03sCh2Fg3/SLGe1ZUCD7RobHvCV6MlJRERI2QpTBNXPpB4Kp5wXcFRHPLIm/+e0QKS+4W6ebbvUpkZe7NMlluj3AXpc67NmqaRmPinqpFHqKfhYSPYwh/5CFfdRCrtTvIXNfU9CVyh700bsKHlS5rN/Cs2Quj8pS4NrODxL+OGtbTwq2N6Xs3Ca0lSxbTxfGOtGI3vRQ2ZZiavXkUuVATe7N0GDuwyh/uNQ0vxYdVnSx2za6r0vIlwvqwUJpSJgAAIABJREFUsromFv5lse3oF3bpsqo2525YLc/Gc6fRGwINJ/wenz5YnqaNXany+CpKfP7K62a7+EzPSSRkiZscrgbmFezE/GyDVbitfejv8SiJRIzrAG75yfLF5Lk/xUHoTYEvRGJ+CzT+pqyD2UCId2FiQRC63jg9204K41GNxbXY8IAMXeLXakoPNQWuD47hDyPaxnzsOnbEL6u/+iipzd5Eq+V5/SXv2E+V43eBNtLXZ11S+LETCYAUVvDUnHR+5PL4xRbaV3Z1kL0mRDLRjmwOtVTUfR9FwSPRuy0LVpy3WDtDTrCZMMYHlaTwgpb4JVRKIkXgT4SmnHlIiqxMDgoQp80ib/45SGGTpwE+N412zORQS+a0mVasMPn7Wudjadw1nYvjUegvYU4jQ7DMVk6At62LZEiW9ont5oN510YGBQflPdgRk6xr+Hu33qmUqECv32MZ+V+WwqtDDdhjGEtDtiCltL5G5eFaNKdeGAVpQXBrY5LCmkYdFT7oHDPZbtktZJQOuQgLGuLGMoDDZqwdLxgmBxge7+3CbtSSFOaNm20by5tcNn6QbsW1TdOSy9KVUvM9x5H673qSpDcie7ESJ+azQ8iTeH9IripSFrIUnriqf+IG/2BUAcTEyu4xlotecSYTeCEPpMINK26g9ASy6IAST3rrsMdzG4ngwfKkspJ1YYk4TmYOlGGUwpuJ2dG+9kBlWeDOqvW0OauQZ8j5gTpI8CUSqZGbziNHkTH2hyLpKrOmpQt7J24MtnYuAZDCCp6d486PvNiomZYdJPj8FW6osJLCGv4iydt60RKhG0tNXkVLLsl/JAFKX3o81PdoiYW05DmQzi+5QrQy96aQRTaJ34Sytfi6pwBojlnkzd+g3uSfelGIJa/BDRe5z6aRwviQXobK+WNJip6LbLKlwdSks1AxpJ88B33xuLMvEqliIWistmXvCHQ6jv9g3MldgdFRebIgz1nawDkYis0LxjdyfIa7J3netZEgSD3qQK5NZfWXfpxZIS8n1oLGuWLJaGAfqj8NP1j14bIURq8wcizGikrfPjDqqGHJRgpvbaZQkZJEgHoOtvTZzqNNL3bTH2XF0jSNfV4P2AWu2Rhts3KT0MXfECvPi7XlrKbNoaNi4V9N09ZnYsOjc1aApSI62CR2CiYKeUYofNshFvhCDiTCUkx311LPEDwisvVmlqsBOjcZv9VSbRWazbICsChG+jpDPgvs7xwz+pzopHBqrBPHQkFSnpWa/4uf/oVRbX2mHy99bB2gk0rh+cSscGNAfdl+FNCNafS1Oy1NdO2Y8wG8zLK/7RG60Ep8sKulCcdNQyr/6JUhtCDfFiKAkh0KdaFZlUhVa0n8FVTyQecFFRvpw96JdLC1UwmAFFbw5Bx2fuLDKAnMaVsiKfCZsfXkQlZqtpKTXXhNJtR8HOy8dJ4IYpIAN0Y8vBq6Is9BbweSpDBanoP8JyzNJs8wlmQ7/82bP9dt5g2sQaUhhN4H13gUDzZM6hALUzYOMR5NZxWWrqvX31xAy8Mbva5Ne1EseXWZ6PN/heMZ6zOURDA+3UaFG5NtZwUoqmvlXRvFXaxP9l/AUZ/KagOdHcg34IPeaf72Ic/XebE8pGV8A0kDIdGA59U5ksKppdgtNAGfGU2TY9fQx30Pt7SJ0pOt9GI3/VGWF9XBKMQy22XxL/6EpYtvQBJJVmGLs9IfxSewNThtJi9aZJrzLvx5zSAryXIe0sRBQ1Gp23RLBMdkICsrWZrMZaswLRmJ1mwcVpHYZKaxkIUUZhXPEEYN5469aVlgE20rGensHMIz/0xUNhMLE32hRqJc0QTBBYsAHWR5P9HQESd44u0gBVPDmlg0mOVnhsiafNjiXlH6Wajv0TyyJeG4HGTx8PIvB+dSJKgo7ezoen5nIyvyWyaVGxvC9Z9lpKOwuQsIgBRW8BAVdH7WpViKdAmPruBJEdLBsOKlJGSJ0t1cHMbheIgOwz52rMlo6l/W6Gwb3UJHNlL4GfWpQm5Vx0iAxlADWuAe/9nMX7a+G9f25s3frID5niwFH0+vaiO9A4Oqq6TJBxfA3jBs7Shi1MEQV1hBZV+OBNk655UXsE2LZMrCjZWfGYr/EsLrsZlsb1wKJyMBn99zNpqixkVpqCwVETUOJiWEW4zGnkejfRfwBHxkq67teiJOW/mlA639gSYq1JjWZE4vdtMflax3Xn/Jqd6hYWLNHewSMRBa6/gXfzY7isbfZQU0KEi2m/6b/ihORByyKT3D6ap+Tl+vNXt7J55MIK3G/sPxLrH9UtMST3rR0Ej21V4ewivhmeoAW3KPjV5odtiiXBF8oFOfkfMWFcAkhVm0IsuxAZnBaZidyW6B/ru1OTc+SGM14Nlsl4b5Z0lDUjJNDY21Kk9135lak3iglLhy4sosrVVOl6kjOdEvGFpqeeZOZ6ASR1YpORbqJ07Qmoa1srD70CVdDrX0sQSiQMQd5QiOyi/2wtauIgBSWMHjzFuKZbw2069MejITY+C+riHTSeH10bYjePo51cE1xFULh78x5iNNjraRwls4nj+7rhij4z1oDnsR/Jc3/8RvG3aicM9KYWIYxivemQWunaOIMWXiN8nRtQhqyHYWIe/aKAq5MU9MsNjmGu6iYQ0r0ILqSbIWnZhgxFdla7o1mcALqiU2Nld+QOvEBh9oyA+SzavD4s/YAog32iiFpW9QKK5W4OqPMwmzzWx9sq8FR6HCDYK08kV6sZv+qDRWt2l5SLFLD9USn9fqUwEsynV2u/RiN/1R+iwQz2T2K06LJ5j9FhGyJodvPs9vcRxrX/R0Nhd/xIswm6YPJh50YAtrDa4D0rX5iEjap23Nj42taaSqYIGZWo0E92eSwlvJCHbLllT4xNXjgSAdnLSSkL0WQd+0zcTSTGygN3iqngcmwr55mZbyfhYOtAxO2zQkQgrLt8a3tzaRW8X11joSiQVFT+rU6enUPJpdw23Y+EQeR7/kg+4xSXoT+zR6++C/3UsApLCCZ6ug87MpBZlXIbor0jFYeDVxIYsGynReC/KLEOE5cdh5fUfoC9wRH7B4DmKgTApFv8eZ+qSSY91p583Y3JILu/Pmv/F7CqSwBQHivKH3CaGxlq0cl805bPwu9SQuPPFizjLv2ohcOb/vaPgArwOHO2/+4Ti1EL10IRyPh/EKwMaVeFfuY4Xk9Zd3P2LRwf0eX+DOGP6kw2x4WPw1XaUWVuE1GxmOXj1hUkJLg3XY4osMaeNGm5yBf2oBW45PhKX1gdOL3fRH0TLCkVBt9alQW3t33z1c1Eczi2QtD7IUmaEE1ObtL2+f4DUvvdhNf9SUvYs7sJm2ymCm1RlBkPad6TuODRwHW+7QlVZ0RaKr4uF1lOb4EUspTI5uRAL6Jt0qEgU3vm7GO1FUE8/BVsnnAc/vlDIp/5IvEL0Z/2tHW0tT5WEUn4H1XxWln7V2DUzM2S13x4udxUYmKYxX/0YBIpqCt6LTeN7L9PXGcvoloYaIcmnkxi6ZWopcCVyS5/kRT+K6m1LdZonh311EwH0pvD7Z3x6oxq9E6aH6hvbBOJ6FuosY5r/EQ2YIy6PSN8GOq7cikXHLwTQXsuQDaDJ2obb6SnSRdwv4SomnQyK3znBM56G11H+GmFha6CrzUuFSqzOxe+Gr7Otk10A0ZvpiJSXf7s28xcc//rFllnFkzx62CmMTL5obp1vpA4cotnec4BPv8MY//mG2H253rSjU9fKujWjOwPVaz/56k7MBu5X1aPAgtvyxHfxfNNHqJPInnh4gLlW9d2aREWvu+87+BZoKB1MbQkuvm/5DQdxMwdQSD7ov/Wj3/dqUhXEHDllwZpA4bhoPaumPmpJns2NrfkxMAkYnpBe76Y9mc0FlacwhdTUt9WyCLThM18Bb/L6pkji52l14fbLvgt49F68wd5XHg9CduDTUyb3vevvHrR80DnSNA0psrQ119sb0fXcqKcWh0wtcbElF4UrqWjq6BqIoopnSJkEUTHdT0o/leaPmftTJ4mbUN5zv5p4S0jnmTewTYjLDm9PBnp1OwF0pzD7c8HEh3rBYUXNnY3TS+e3sOy+O0jvhv/Hmdzs1DPvzI7Dx5vfiqBeFKYWT2pi5xEr1RObLQYrtIbAcCR6rrT4bMYR23p6Lw1XsCKzca60+XK8zEtslhf07nICbUnghjBz8yfeRsirdt5I0oRB3IFB3O78dCGSbi+yQf/L1m/w0H5xlJpB8/Wabn36xXc5hbSy224HyAAEgAAR2PQH3pDBe9Yfo4CM0GHvqSXcl8xyy8q/fqbSh8yvsk3PI/48//vhtA9SwceqbWeZm3PPbxps//vijsJWh4Fd3WBsLXn4oABAAAkBgrxFwTQrjJY6ISVgKdyA52qePurKjngN0foV9XEr4pzbfpgkokVEF7vEEid82UptvC1sNiuTqSmpjkdwLFAMIAAEgsBcIuCaFH3WweaM0ICKhSVZdx4esI1zuROjQ+RX2qSnk/49/bKU23/6e2oS/LAmkNt/u5Uly5pqvsDaaM4c9QAAIAAEgoJyAW1IYz88ljsJ6yStWLzMG7VJ+b9uWIXR+24ba8kLA3xIL7CwIAaiNBcEOFwUCQAAI5E3ALSksFnQwRG4HKZz3s4ITbQiA+LABA7sLQABqYwGgwyWBABAAAg4IuCaFL7DYEbZSWLcykINbKPyp0PkV9hkA/8Lyh6vLBKA2yjRgGwgAASBQ/AQKKIWrLsWLn09WJYTOLytMriUC/q6hhYxzJgC1MWdkcAIQAAJAoKAE3JLC8Wt0+VDP4V7d+kbgIFHQ570rLw7iY1c+1h16U1Abd+iDg2IDASCwZwm4JYXlaXMRaYWklR8CLLJESN6/ox8AdH6FfXzAv7D84eoyAaiNMg3YBgJAAAgUPwG3pLAmgqnpfIJjdj7ExY/KvoTQ+dmz2Y4jwH87KMM1siMAtTE7TpAKCAABIFAsBFyTwhvRAFt1ufTKBL3dZITvPHprqVgYOC4HdH6OETrKAPg7wgcnKyUAtVEpTsgMCAABIOA6AdeksKbFr9UwX4iK6iuDkeHBtg9YWAlfa2TD9XvbtgtA57dtqC0vBPwtscDOghCA2lgQ7HBRIAAEgEDeBFyUwlpyNHiQaV+vvFETfJDMu8RFeCJ0foV9KMC/sPzh6jIBqI0yDdgGAkAACBQ/ATelsKZpycm+ltoSSQeXHGnte7KrdLCmadD5FbaiA//C8oerywSgNso0YBsIAAEgUPwEXJbCBMBGcmV1Df2tbxY/kTxKCJ1fHtAUngL8FcKErBwSgNroECCcDgSAABDYZgLbIoW3+Z62/XLQ+W07ct0Fgb8OB/woKAGojQXFDxcHAkAACORMAKRwzsjMJ0DnZ2aynXuA/3bShmulJwC1MT0fOAoEgAAQKDYCIIUVPBHo/BRAdJAF8HcAD05VTABqo2KgkB0QAAJAwGUCIIUVAIbOTwFEB1kAfwfw4FTFBKA2KgYK2QEBIAAEXCYAUlgBYOj8FEB0kAXwdwAPTlVMAGqjYqCQHRAAAkDAZQIghRUAhs5PAUQHWQB/B/DgVMUEoDYqBgrZAQEgAARcJgBSWAFg6PwUQHSQBfB3AA9OVUwAaqNioJAdEAACQMBlAiCFFQCGzk8BRAdZAH8H8OBUxQSgNioGCtkBASAABFwmAFJYAWDo/BRAdJAF8HcAD05VTABqo2KgkB0QAAJAwGUCIIUVAIbOTwFEB1kAfwfw4FTFBKA2KgYK2QEBIAAEXCYAUlgBYOj8FEB0kAXwdwAPTlVMAGqjYqCQHRAAAkDAZQIghRUAhs5PAUQHWQB/B/DgVMUEoDYqBgrZAQEgAARcJgBSWAFg6PwUQHSQBfB3AA9OVUwAaqNioJAdEAACQMBlAiCFFQCGzk8BRAdZAH8H8OBUxQSgNioGCtkBASAABFwmAFJYAWDo/BRAdJAF8HcAD05VTABqo2KgkB0QAAJAwGUCIIUVAIbOTwFEB1kAfwfw4FTFBKA2KgYK2QEBIAAEXCYAUlgBYOj8FEB0kAXwdwAPTlVMAGqjYqCQHRAAAkDAZQIghRUAhs5PAUQHWQB/B/DgVMUEoDYqBgrZAQEgAARcJgBSWAFg6PwUQHSQBfB3AA9OVUwAaqNioJAdEAACQMBlAmml8MyzpRerRfj3f5+vFNXfvz39jyKklFOR/mt5taiQ5lSYXcA/p4flduKc4ENiAwGojW7XT8i/SAgYaj78BAI7l8C/Pf2P35Or8t+/8B/Ts4v/tfwS/jISmJ5dyJgGErhHAPi7xxZyzpUA1MZciUF6IAAEgEBhCUz/Os+lL9kQUvjfnz57k3oLfxkJAKiMiFxNAPxdxQuZ50QAamNOuCAxEAACQKDgBNI6SIAUzm4kAJ1fYesx8C8sf7i6TABqo0wDtoEAEAACxU8ApLACszd0foWt6MC/sPzh6jIBqI0yDdgGAkAACBQ/AZDCIIUVEChsRQfxUVj+cHWZANRGmQZsAwEgAASKnwBIYQVCEDq/wlZ04F9Y/nB1mQDURpkGbAMBIAAEip8ASGGQwgoIFLaig/goLH+4ukwAaqNMA7aBABAAAsVPAKSwAiEInV9hKzrwLyx/uLpMAGqjTAO2gQAQAALFTwCkMEhhBQQKW9FBfBSWP1xdJgC1UaYB20AACACB4icAUliBEITOr7AVHfgXlj9cXSYAtVGmAdtAAAgAgeInAFIYpLACAoWt6CA+Cssfri4TgNoo04BtIAAEgEDxEwAprEAIQudX2IoO/AvLH64uE4DaKNOAbSAABIBA8RMAKQxSWAGBwlZ0EB+F5Q9XlwlAbZRpwDYQAAJAoPgJgBRWIASh8ytsRQf+heUPV5cJQG2UacA2EAACQKD4CYAUBimsgEBhKzqIj8Lyh6vLBKA2yjRgGwgAASBQ/ARACisQgtD5FbaiA//C8oerywSgNso0YBsIAAEgUPwEQAqDFFZAoLAVHcRHYfnD1WUCUBtlGrANBIAAECh+AiCFFQjB3dD5bTjmsPH6xdLzxaXni6uvLev9q2V8dOnlK+fXSulKuxv46+/IEiDs3BEEoDbuiMcEhQQCQAAIcAIghXWiinPJaaOgnR8ToESGSv9/kbA9hASrLFtnbh8p+/hi9CW668RLcZQnQxsvXwm5ttD7J7/H6/e0PhSgZm8f8Zp2mk/xNvTOKmAurpt66zr/xELsp8e/JhQXW74F2N41BFyvjeKdggoJBIAAEAACCgi4LoVfPBnpDZ15r/pDX5nf463wVX944L+du3xjZGpdQemLpPt00Pk9bCbyMc//XxxO2ebQPGJ7CKlYLlsXR06/S35WfNQdfzFyURzlydDGxeHU8/hPI/d+ejy1np0UxuK4pOLDz8MLb1LslOKTwovRG+dCl88NTNlUp+fh05hPcEQaDBRh7X0+fP0yuhHp7/KNn2Oz1kZ6m5stwvvaYUVy0BrssDuFKgQEgAAQ2B0E3JTCidmbgRobXWUyDa4/j4/PFrfUsO2oHHR+WahVnR5lEpbuVCGFUy8f/7mBP6YD79s9Mn6tht5ZpmstrcLBn6kLBFPVzSNvi1kK/3oD3758LzrD2+t7QYR9X+hhcddP9lBMFea9jscvdHdkW5N3R6NW2Ltw0BrAcwECQAAIAIECEHBPCr8cbDboNvmnkMKL0e8+PVqFpNifbv+6MztsB52fcylMLLUj95C9duTeTz9/+0UF0bXnovKhG5/vw/x9Z76lKXH6+HOsG15P3ThZ4vV7Prk99TdiFT43yL0j7p7DGWYthb1+T9nHzeH4496P8YkfX/7788Wl+Le1pAJ8/O04c89Yev5CxccBB/zRK5dJCr99g9ygZf+QAryoWcg7KoVP36V4f42P9H5NHoH/0wHyoIuz5LuqVA5rYxYPelfhgvsFAkAACBScgGtS+EnPAW6dOnr53gz/Svv6xfTDbwNfcYdRKkT2qBTOrVcbbmXDCdmEuTHb23xxcBFnNf7NPoK9+WedIXD959Nk/+d3F23GG1N3B2Krb99QU+7F4fXZ2E8j9x7OvuJ7qDOG0SqMS9XQO8J8hWkBBm6mGwvRGzlyY8H5O+BQfGSWwjbEnJdcaQ5UCmMbPK9Xr4db8TjT/rkrLQO/7t7dcFgb4XEAASAABIDANhNwTQqzj+Mer7/5b+n6xaykMJnLZROawIhsHU38erGNk5y2rfOzksIvh1uxS4Pv44t/+/kc8fr1nRtcRcx/DX91oPpD9FeF9RCy11bRPWj/Vzfn8aNZXfgVp0ckufAl0+D+dPtXvidLKdxw8WJtzcW/PzznY8KdD4pMG3tLCqNqnCmABqq9mdJYS3NLKcxs3nafXHJ6s6yvm+7tNr6beyCHbWsN9iBbuGUgAASAgBsEtkMKH+iMWzpZEqG2bz8TTL6qfVi34VlWtH99MX779Pv0iz/62r6/oTkcl+ydjy8TqVeN52Ytjlz8hGk+r9/3yTf3iK3U5Q7YeecnNK5JLKKxBPK1RX8imWQVfjHe8xGaksj/qpr/hmNB8E//4hBPQzawm8rqw3NVfs+7X92cxpZ7LnyzlcLPw5/jSXWGCBJx+lnA98k5PJHr3BH6oKuOBMXUrr9EFXy4d8g/o1U4dg0NJ6RqSWrddzFDvZof+BzVRrFfnKirmRUHmu9OmSLKLf7tu09FVa94r31kccPmQobr0p/WUjj+5w89Xr+v/bG++Xj960/y5fyesg8/vTayyEr1arznI3Qv58K6N+j1cMfHB6o//OjP1m+0/hJ7VCI7rI3AEAgAASAABLaZgGtSeHHgI0mB7Qvcji1xHwnaRwp7sJTS4/VzS+HUTezAqj+KJjC1PmRqWPjaHmn/7nOdIsRq792Lw9zeaS0gFHTYzjs/oXFNN5tBChOr3vzDbz+hA4aS0wNTLFCaHWGmmxt6Z18ONrORhq+meeh57lZhrMB8l4f1UpgoMKnwVKh5ii+CREYpTJ4Or5ZvqHX84rChRlECYj89sfN287v+kvfPNIcuN3/xIfLJNk3CmyJT99D4DY8cmht8Pv++1oufo8Qiw7Stg5UUnrl9xOf3+IRrPsph4+U98iXBW3Hgi4tooIIvh2rFJ7eZRn89HEJfG3yt0mRBMrx59/KwCg/vtPei4K0sVP7OW4NClRyuCwSAABDYmwRck8Ip2pUy1YUiqR344rt7Umin9FbhV9HL1O3VW/N598OppedT0e9Qv47EQVXzCBHWQgqj/b6aT79GFsfTtUzeWdjD1Peyzjs/LoUPfCEspp++T242rVVYckSRUOMTWx8yKaxXQsJaTKzC8W8/oRfyvHt5eIhMm7tIpW1mBwnsCPGn27/qpPDUt7Tw5wapbNq7UhiN7npFdJQXf7voQ3X4THiJVUXqWF/DzfmoMVr8mQW5y00K8ypEZXfVV73/m34lIG3crzdxxIx3z1H/ciLoV2k12NcRp03h6kgzMuR/+G2clJM8wZpzUeOYdm82nXZ37bw1sMsZ9gMBIAAEgIAbBNyTwtj4hA1LBom27+u78moFTK4ZIkg8v9lA9dmBP4uAr4vhkzQ3GuRVksK+ht4Zpi02Zv9C1oBA+vjiMPvs6wbBNyqWeOBSmPtCyO4QfCdPJta2sJfCR24sMLZI8tptIyYbs+HTNR5vTfPIy5ytwmRCXvPPr3RS+O2bxMK99o9Lmn9mvjF7WAo3DOinKk59W43qNn+ssXbk1WPyYXj7YojH7mAV22CH1v3khNnABgnuCt9/O/ftTwvsKbx9s/H4IhK4VRf/bsqTGH195+4xoy8twCcotMviwBmzMdulF2pHZwtSeEc/Pig8EAACe5CAm1IY99MvxgeaJf9dKmTFd1gu0fRSeOnup6gj93u8JBQXC79FA3v5PdU9cZS/JIUl99k3qbevqIzwu/FF3lBRnHd+XONyeZStFF6cImHULtORw8nLP43c/Bq5hx65mbUURmr4eezhLLqvnH2F375ano3Fn78xSOHU2/jA5XMXuJF7B/sKk6eTt4PEe70YrCRbSYYswBlRxlUXx03alL4F3Cr8euohj5pHN2IiNguVwh918jQ/94bO7MMfUoRP0fg3yCZNXx/DFalGPxfl+4kjuP90+C6yEINrhPQQDY0A/+m8NeBZwQYQAAJAAAhsAwHXpTC5h1czD7/VL7fxUZjOl2LWSr0UJh02VcOylYtvE30gpLCkVHBHLplLpa6d9/EqN5x3fvlLYdY3sxwQlscdyMrYPMKHGcgqPEWj/BotxLSSJV7r18W4OEweQWYHCUbSJIVZkfgjs9gwPjV2OzlVfYf8aQ3UD6XkApAbkYpKah1XqAYCYr/pRJpSv5/k1tBLonnoCBguZGH3lUpFj8qjKXQXxF2Ym4FJ3Gjr2GpWOSze/ZR6JYFrBHvQumdk3OmwNsoVD7aBABAAAkBgGwhskxQmd/LibxeZ+6/fwzpjayksCVmDfwX7mb0U5s6Oxk5LFV/nnR9XjXx9hMWl54N4kTP5SzpPJhwkWK/MDiEseBtZGRlbJH9ZAuS8K+8nENAsNxRDYCAepr7Cg8Ss3vpQ2IltgqlRjCCFKYEcpfA8icd88Z6FG49BCr99tcw+j7AFUKQ1SqyELK4e975GgxAfdgKmX0uE44r8UljlsMHcvmUHJFbrVL1Buykf563BbqIB9wIEgAAQKH4Crklhi3797ZvU7F/okmPCBsxkmdiDqM3ceI85SPyFewBbdMBEK6CeXnYpFkuIoUyk+UkWOchSIM9t550f06kWdtPcpfBCL5oGZ7D+UpXj8V0eNkybQ0zod3DEaoBK4YvYtIz0E3eZyFEKv1qVddsOXm2OPB3J/kpqHZ8RyKpNflKYUv3Yop6bMkzboFgJWVzhae0iZu/oZTSYtHaQIK+nzlXjcQeKI/Hp1+fQIBY7DactA0Phzou2Iy7tvDXYEbcJhQQCQAAI7BoCrknhkW/eax+Rp8chZPRbLRYhumovAAAgAElEQVR8Zqvw/m9iXEBvPGxmCzQYNC7KhyeTfYXluGkb8YtksQmv3/M+8Sp2sZN23vmplcI3T394oPqb4Q3J+vt3FtsOqxk2/EByGfNktGtvTJHobIsj53AY4NNDr9/gJUvQug85SmH9S8K0+G4IphbHM8+MXxte/WSc5WbS0LQS6vdTMtxliHNjk0SFmZkfstqwkcLMrHvkJl7Yj647aCw8ypAEspCmmdIoLmh5DrqOOs1kDytdK/K6tsV5a5DxEpAACAABIAAEFBJwTwoT4yKawI5XWJBil2JzL5sz9JaGdsI73wsN3PtpIIyXXSDmKOwOUfFe6+178YXFpeeL048Hb1w8sh+ZNjEFYRVGKY9e7L07cu/u7eajwrzKL6SQmiEr550fl8KygwS6X/zHV87jydI7SPDiLUZvYPjfnPscr0iH4801Dy78SvffGCbxvPhyGCyQFgkX4PGePPfnr/a9+1WYGuYJbePCy/RyJgcJXgy8sZuk8OtBvKa07+sRFt/67ZvVh8109CWUq17yCsFk2E8lr8EDQYwbRYZ6pCJDmbDOV3h9NhwkixGe4Ytl0Dfrk57HcsjtjVn8MUH6ukLviIlm4jQshyh+chfVrtuw3IbuQThvDdI+Zd21ICUQAAJAAAg4J+C2FBaSlPn4oj37TkurbXEJRT0i2BIbrG+WT2TbXBwIKex7l6k9lg9KLIWqcA7LLgfnnR8KthBCf+Enabo6EWAuSymMC/zy8Z9xHFkJy77AwJS0MDUzErMlsrkI++IrOmVKtrijQQjTtfJUM/4c5Z3CfMhOKVqrsMSHVTMa78ygXFF8Ehb02vfJuW/DIze7z71X5t/3ScMBlAmvnNQ/W/KsoA/XmCGv6igwds/Nnwa+xWteHLlxo1mfoV0NxPsp4ZIKvNR29YfSOo4fX/y7FFp4PX6ZjBXLPsSX+7n3Go3vUdLAl9igC3qLMMOpt1O9uCIxNwlSbbZhqJn2rtO8L4U55Lw12Fn3C6UFAkAACOx0Aq5J4cWHl9nCWlxYeLz+koqTFwdnhS0NS6Wpga9IyCeSUkgHFJsWLbsl5+Apq/qo/SEL1Cqk8JEb8di1j8lSXjg9Wbp2O7pD1zq/hXudPBjZ5WZu2WVToETl24hfxqFqZR2GFNvsyEVptZEjoe8+534jVWylZdlReOntq+kBlgaZA1+MsJmOVZeHV5/Hf8KBuu6ytU5k1auTwgvYSYNqsgNoCd8a/hx9VfL+r25aRE7I7ak55M9HArpqhpUxsbAalatFpa040Prz4gydAMc+WWQthVNv36zGe+UQK76az2/EX2yM5CGFdXexv+aj1oHHyyae5jer7MNPux++YK5HdB2Q/Rd1C8sxvyPsJkFM46474otKLoZVptsppkMOa+OOu18oMBAAAkBgpxNwTQrTzun1C/aVH33rX7Vfp4q4qKLEL8VyACSTDTkTw1FZChNXyJcGp4JteELudX5EhOnEDZZoyIWXwJkf+Fy2/wmT5MJgkK7xS05/r+MxGoGwRcXQTrLSMnUe9Xtqb0zFew6wgQd30eZrAh/ofhj+XD8sCT0UePVSuJcvcYILbL4Ftof5KztQM+7xJ3dHpTDxtZXLySqtFMbBmUqjbtnPqUsMQbr/m8fyRRVuizfL8FplcxfYYdq4ekg2J+7yNG7XRvHGKawJkBUQAAJAYA8TcFsKu93tmaRwIZ6le50f89nVC1Cd1wde95jLTUmaCCds38fn/kajOKN+dOP5IPEf9fqRPmZx63CwLfpZXPpQjt0hPqn5PIyWDmbBiUl5anSrQuxaKUzDa7gdndoscV4MfoUGDNaBz9x+szLlj2O8mKf6me9ir+1xrzWQSb5aTjt6wYMcPsdAPrFQ269mHsemX9Lg5YVopcmN43CEadEVrmzb+WhweJ88Obxaem74rrudJS/Atdi3MqtLYztdGhtf+uqUeL5o/mSX/hQ46g4BkMKZuvwsuLvY+S0+/Bb7EBNP4ss3fr7391l9d/J8MEj9Dd774rt7i/LtPA9/XrEvcNvi+3jqZazj4wOhh6RFezXz+Gb3ub+QNcY2pnrbJU9uw+3HB0hJvg2PxGaZZZqkwfZp5Atx7bFVkyEXTPG2i/yRHf3u58iCLpYjVn93G2x9E5k2m4d3+ic9ZzlN4bbxIE2BRV89zMIxIffiuDa+/HWWOnZj1x0O+eWvM9zhG5vkmdO2BUM8LtVNoMwVC1vGkixmmf7/cV2zY/l2v76HoqRbLfeddcHYJGDhM0baIvL/v+DJ1hYodPkTf3rhzZ8pvXwvFms96rDEJXOD7qJyJsWyjb905cHhdawTeSHSb4yZbzMTNOJxR/7/EFlbcnkiWSRG68xXHAj+/CvJGddqQ3VFKFCQHJvc1kdOl1W9d+2xTdmwMU52FLTLB+1/Hj794afXmHvn8s+ny/weyXplc++40qYpoXxF9F1xNja+k6qizV3bPA75ZpVugxRWQNxx56egDEVSnwpSDDf4x0fuxuefL04/vIyCNPvl2WPq73H29pH9Dc03fo5Nk5ghs7HwN++VYdN7GrmjtCFQf1N7tXjOauPr4QtVHt+5QRzcQ5bC+CNPxekhrIax0uUuTBbPTi+F7fysmJMS+cijF0bsY5E+DUlp/H9mzb2Igzlm7vXTtYSYRoUPTTww/FWVeNlk6wy1zokUptNS7YCIKS64DK+WpsLd5z5iRf2oueeewXaQoajpUJif+NTd786FvrkZp8PmV9O3P/2CT4E1Z0W+dOmfeJblYUP0zwez0VsZoOlg6tReLifyj6JkQ8qHBLgUH69wrSbV9VWCstJJYZMBGIf3STOEy0EKv8CrVvlaH3JVHWuv8nj1H1ctngJGId3Um9TzeLhHjAObT6I3ogotMUv/REDM1/HwN+dCt2NysCCLS5hryJ7bA1JYwSN31vkpKIC5ZdxTe9zgL6sHvbuIC8+LLjjHGjLWohkCfeypZ7pzb9ZpbVz9+bSPhr4RUhgHddnXyj7joD5VtxKKEZdZCldfvClb4PTbN7/+0DDjliysk1njStpClIH50PNwkLHODz3eitMDOCCmPHtEbEu+EwYVzkxumIalekNyRChRw+nsbRJCIe0enI/wu6NnYSFiXuuR3uDfv3vP69eF3OZvdFnVgWqk1HE+Nc0j3K6vtBkZ/2af18+rx5vU6+EQiqeki9SkE0BEaFrCpAXjQY2E5GLfJ0//qcLzbkPzBWvzvD4IklnGWd64Odnz4evW+Z8LXUYFQLFTvzKXDe25zsyuKRxzSV6vgFXX+PWPS97viWPhK0lhlH5fMzMhI2dCvEABWwMB13BT3TBXJ1ZjxRuBvi7i95qNcukhEqGSlUSXXjwvMxypDL6qfXi49d4XF8+FLqPvxj89nlqS3iZyCd0tWD6Cvb5zp0thFtPgp5HYTMG+Izvt/ESl3+vV0aYtyIDFDf4vpu8i15Rrtwf/vsAH8fkVL6uz1p/Hoz/3XiOt/3e9dx9P5e1/BtWpoASc10a0QH0DivrMpPDrWEdNiZghgJ0NhOHH6u0wS2GdVcl4ioXKxKLBMsw5F7ho4y5aVsaomPMRo9wP5C1W4R823x6599NAc7WfB460KCR90HopnM61A2foPXlZPxKQ/RxwP4Iy9H1CIuLjOIOcHo6lrVd7pMB6CLO3P6r95h7vkjZYREtZlqmqpUSuvfvNY51FkwVDbB0hYWEW4zj4D71xaw5yHyrbArIcRZBk+sqAZVxtz2Mx5pGXIOXbeC1SDjkdmddT4a/IypdTuvs1VmnU6v79G5/Xr4v2yKQwOUR8z4QUxukPdE/xFhvbcanV9tXiAiY5FWZDAizEz6AAmu+f0YnyAZEDzYqGy6xq/ptxLERmpUvDGPON2EhhS8FthY5Yo3UcrJLxu96bGztdCpvrTQH2OO/89mblU3XXwF8VScjHOQFHtZGFECFy8/GfP/Z4P/52/Pni0sKv8zi6zsbbN+sjyGxstkUhy+iEReSW1oeis7fpAi1UZi5yVq9+qDQ88PWALDHTbGObtEEKk59YBLAuHxdyexwkZG2tFyJ/Q0tHGWfQmneuv+RxCVmNmvoWxbtMa8u3eTosB+uuDWPxU88ZOQcWrZzIrGykrbCsp0ggSOmhyDnbbXOhKRJgelZ11aICZ5TCiYXw13T1gJKK72Ibs4PdVpEi6dXxpanB9Xm4+eTFodlXooRT375PV6Jlbwd2GpHDR5IxRvPPeEYNzq3KvHItNtCyKmrzpPiwhH7V0SVjj+nIjVnd/hQPSIrjkDLr74HTA7+SZV8zXFSuLbjwrk53EU9cvu5O2gYprOBpOer8dn4d0r/ACnjmmiHwz5UYpHePgJPaSGSNhUqgYgJJE+K8eLpXGPkuN/g92NIZm1mfeoj33754wOv/qBNvx5+jzp53pcx7Vfa4xaux6D+XY9HgxCos66r0tPFdS6oLXdpOCn/4qc4mR76iIMuc4XKvZh5biW9rayhNKea92UphY1Fx622503TLVBQaZbTD9h9NC6OSznRFugTmkT/HX6Te4pAReiusbKwd70E+HjdwQFJcJCydpYeSTTmF0OS9AL5r+ULW5uHMVuEX//v251VoBLjv655ztWglo8HoZR+a0Fx1pH3kV2nFKMIBm0Krmkfwt2LsQIJ866UScidgIoWncBqZAHqsPrpI56uRi9jAPEvfL/FV4buPvH5Pw3fGyiamAL7mKxPZmrGZ+zV5Uuw5chcR/F1if8NpUvOR+0c2+ps/ArRh9JnO5mnusTQghXU1htXC3HY66fzyuyKcJRMA/jIN2C4sAUe1UbIKx29/hX1MP/724cKvVEC8fJXA0ke3ZCO2Zvn4WvS47TI7SPCu1EJKXj79SZVKX2EsOGRVkf6JGKWkjRR+g+BYxv9CAa0Msb1xnta2c9uRhjCz2Urh+J8/RDJdvyoQ3plprRmiWb2ZkuWoP4jEkb/pG1GzyWH6/VihylZYXGHkR4YdKh5PrefSFVrEZzBdyPoG0yZD6wHhxbNIIHy61ikeuS2zlYnomkSstOsPz73r93x++/HfR+799DOa+kzMvZIUfrP+8C/XkIamUnh25HLrbeI9jFjN3j7i87937eHjKHLUOfe+3/OnG1MbuJzZGLkpW+YYY1yulZWT05i5S1a22ndatxAsKgkJ/C8/rNyl8JuNh80++yETL8Ye3gApbKqUudcGR51f7pfTN2oKyr/TMwT+O/0J7qbyq6iNLx93nyzx+ve9W+XxVu17t2Lf13eJ3YspPPk7++xfak3RoMxSWNeV4p5etgKaVSYWDXwRb9mErNuuQBOYLB0kZF2V/vlmIYWNEoRkji2Xst7VG7bzb1ptpTC+ovEqljv1t/wy1v6hG4FohkN+jxctC6q/XMafJulpkMIPv9M9ZasvCfYJvosJ8vhCab9I4HywD4Chiqbevkk8j904dwDH0imp/W6YhuAllUE8hRfj1GDsqfqqdxw74xLlJ2lW6ilLpbCYYnTvpxH0UUU/qRT5TGMg0qiJeQwvY8v6IrevI+elqSdTU7Nsz8jlfV4/skBvPB8k7hzvnhvMHG3w7ZvFn5ux2dtT9vHFn8QElVc47oTnTzeGZ3jIDmwVDv6s89o3mtulmXPocZDFQXM084vnmLFG7fgEIIUVPEIVnZ+CYuTYGu6eKwL/Pfvoi/DGndbG5fi3DRUeb8VHN2fxlJqPL9/85j2f31N1cXBmpLnM73n/wwPyZCCyOrewaOL3OlcpbO7zsGg48IXtLH46T+gLpPC2Rwq/9+c47vvRx3QhhZkgwH7VQh6hj8JEtRglApMsxv2yvdlOChN3UsPqj3hntdmLlDWwGy+HOz5GokpMfGSHzNhz24NHQWKF0eyzzSSF8dOXhKA83si4LT8FfKG0XyRwRdLPTUQieGH4xkUaUFIvDd/IVmGOa+Pl4xtf7cM+9CSUPl1LJTH7lz9JA0UqhbGUlISy4U5x7SJr3L58tTzSvN+/LyQioL1B3r04YD+NUCbVFuL4iyzQz2+SlVmrLt/LfhGN/5+993+J69r+xp//5fwmDExAToJ4kwZbgxUbm5ukvbmmhFgqGS5Waa0hMkSs5IuQmwoRLxgMNlOQGFKUtNWPxYmfVEVS5v0kjE8l+o5knsePX6MoMc8YAvNhr/3l7H2+zBfPmcyoKwxxz5l99pfXXufs11577bU2ZroD1Bi6rGGEugGgFJZiLjyQpGg/dMfMemnIrdrf0heS/ZUTqbAH4+128hPPMyZ2hADin4eMcN82yYU0vo50w3TuP9U0QpRbhrqU7p+WdAwN94SmwUZCcN9IB7GUNUUFp1S4fyYcutk5CVvAJs0c9UJaVKbq9r7uFlv/tq4SrI+nbTYgHJ5rhXmBhF0ZVJjjAFhZSJgz3TGxH9U+RCI3lHgxhSUQO1WDyNxc8Ium8A1vtmZCNcn9mrmZgIASWZWpYpj+7G2R9IvSIwkhWmQHWyatsCjBLmGIpd2vUi0kqATxiWZ4N3PqrDnb0nATcRPhLzsDNgxqmTAKtguA2HBTZbHmE5TxLUQCkrTmjAobzaDeFZxDbIBbuqKmAdUv79LITULTC0+1kOfUkBbqDoIdYVx8UHuuY2JloiVdnTp9+l4/f3ittpsfoaMOuX269veb12t1zV/VOf2W1mgyUIazp9TvCj1FYDFuyfCpVDE3ENur15EKezDGLiY/D2rfq6KZfr8Q//SxwpzZRsCNNC71NxysYeEhY3+OhkeG+x7yKW0xMkFmQb7XWcR0k8BLZHuJt+ux6MC/L5ATRfAp73pJdvBNmrn6Kr/hL0yofruG/t8HilsoO8PiJBmYlzGYdC1cM7k2UVJikdvpVyA9hOyShOzdzKDC3I+VxdwZ7jUf2ILjWeaLC30kEp5Mow1yw3SQjG6qUe45wnJPTQrySDvYRXCPZh7LHt3Edw7MDkbMes3DaHeNTVASjfg85teVpZFi4TDQ1tLSNRGTWG8aVFgc+RKilUkCqHPkt2EHS2Va+IOI1CQJ2FcTk4JHPjjjB1sFkdNEhamPCEI0uwYmyeFCqRySpoxc8c6xMtrZFSHuQcjuTQlx+zD/4IywNdp6HY3MqOXIVBg8TJsWpTAEcG5VegR4S0gMjqLzJ6gF1ArRT2sftAytwRKILwJpm1MPynTXRz7DNaGpp/gVqbBZ+ncgE24mvx1Uh7eYEED8TYDg1xwi4I00ro2SaU/W2/HZ8U2c6roo/YUgAsLHcOzBGRqkEFja4dqeoSmy70+osEl36KQF3AmLNTguI4JQCGeuqTkQsFiJB3hIhU29VlS8xpvfYuzrRIWNW2wEzESzyHhRA4aGvowOn0kDbVOL/Culwiolkm4Bf2HEhZZwy8WJL1h4az7dX8KvCE5MEjIVBh9wqvlHatbFbBgMwZBXC6nTxqhZWq6009J44miMjxG1VRDRK9ZexVZeyx4k3sTfTrSWaf6Gmhpdo5YVphULmEZozJkaccGxtPZ2aYRZK4VmXr+hjo1hFNIzPAAKa/dQg8239AjQXkDJh9uHiYdEwIR4HK+4Fl7ZERVOIS0cNwHgPksgFfZAAryZ/PaZ5EmvbLdDgPh7CCYW5RIBN9IYvspnd0pWTAYMVydY22Db1N888YbunxpkaLS28PiZYM/QMPGNxTWUoB81RfCGeZGbHDg8gCsLz9U4L8CBRLEOd8WZX+EUhUuvOzO1sqHCr6OjRhCl9cWFpcnehmDXwPQC4TdQFHhPi0rKS+i1Qapoa20vUh+66WiFnbscf/sGvAtzzGlOoCyKvjlpCRImaQkhJTffDttndqY+7CSWT6cxJuxvp40BlaemKp5hvErK6+0WOdboEvG3S7GFdSUcBsBiHhpbZGC8fLbOpPmTwsgxKFyNMl/11UJEuqIyEZHY5ExtfYScbzvTC64G/9410Esid0ihLqLX4RAbOTnKVw5MpGPDDRW65ud2F2ChpI67bV/evqExCIOjVsBhMWbyTPKqj1hEXAjFVKElnsV/qaEn8ySBMT9E0k+sOtQKWzGRriAVdpBaCSOr4JquuJn8TEXh1x0ggPjvADS8JUsIuJFGFu0WzqId/AeJpMo+lyColTGJLoRqiC/hcwHiYqLpD8tLDGgQn57BMLRxNDbSZRRoNZCwGHSCnaUSTiJXVNjGSXDbec0nW0ZyL8uGb2DotcksJKi6aOXwnvk4TQMJC87SNAHgcHrErvOjV1I2L6WOnpg0+J/SPOfBouGIvz5XBd61FJKqlECaCqpukyU6LdleuWusykRRMBDKSixTKiyvUkSxpoS5zInWEsJiKy/UBluuh4YHRqKxNSkuIHXlC60SeyYs8FuQBsIgpyGJ1vwfDQ3BDhK0/I8Zw2Hf1kxfaIIaQsC64tQPzHjJ1Cr1K4BpG/XNsi/BIukcbI2oJjpQIJBau0Gx6JVlwaNDKbmO9lIU5Yp2ZxqpsCqsOxpFN5MfiqN7BBB/9xhiCV4h4FoawSMBsQg0Xk0wSas0CyICEDpS1SupQvktMhXmtozAYOwVbP5CiwVFnBKma2GJKlEOZO9hTd6bznDShWKlWZzcTpWOwFwbR5NxL5PBrqBilCbK5rDOe+uk+4rulmpzpf39v/c8h07Z8z8wFTX3YkdTSYZCSOm+yaMFlQGwjrCL80y1oQdbI0sQNoLoSp2bChRNr+lnqneaM7OeQjTjEyHhCIyf+rIzmT1cerxllMswaRXVCu+ECtt3Cgaxtm+0oYQqXEldggq/iUNYuJJr8qOnlmMRDJP4ia926xNi+Kt4BDd6akOF468HmmlLVK1w/C1V6ptitaQcFOpBwjSUau+M9uzD60iFPRh+15OfB23Yh7Iruoz4CygwkXMEXErjOo2hVXiqqS8aozG0pom3f2nrFl4XK8M1BwlXO9MLjlRNbEamwsAsmyapPwp7ViGxAf4ugm1fk4UxpaT2HtZkpTIQDncGEpIZqzALgT4u/dlB0PigDDwu6wfrf4lJZN0Y/clrfp/+USc/QWXCR/0KdimygSxhPNzWmfv5Al8Zhlqda5TplR9GFuy4yOvnfwwPTMoskMOrNsBodmbXnZ3FPiV+RYgJjalAqg1lQdRgC95XVtPv0MKVX1iI7w+uTUgg2/XUqV+0Ch71jTUGCKVZYc82QNjJS5YzO1T4t+j1jw0vE4rwb71aUp1FqABGQ+q4N9RWQRwc/WCVtIcTtHOaESNn+LSPbZ3uJe+mmQoDbzYboKcclIFvdScirvbRaSj3+HWkwh4MsMvJDwXRJQKIv0sA8XYPEfBAGhcj3Y0QXqvweM3VlnK/rlV0GHGw4m/BsynXWfqrfphSlHakLxIVJhMnnKuDyTJNKgyaaThL9FEr2wjmzt3ep62w+nLeejV0lcByMDi8RAxzqzr/HK39QJeCLxj5QQOnONbIZIgJV+NU3kxEnMoBgqIGkxtpAS3yjpthdMepUmrEoupcyV2s+ybLmZWJpgoiNsbeOgv5W3yia2bdRJrjb6kDijNBEsT7YM0DETc4JesyWkv3Lvy69sHXIcOEAKiwnd7UuNErKrzxKjY1MRDqaKg9f7h1VBybW18xFpAKFbaA8GbjVWwuOvSgp+XbCx+pqzISRKO+TPMV+4t0zVd2jnqWsJYgPbAOxtl2UXKMclQJXBsm6xPL2bsUg0KDHarHHy1op5a3PXwLUmEPht+Dyc+Qew/as4fl1bZriL8tLHgxJwh4Jo2xX2o/YHz3cOODiHDUzyZgwk4mfqPuV6uu/2lM7aTXggpTxV798DrzUpwWFaZGk+Usxod+sKYnPE/YNky36VJhrlXl5s4mdZr01exBYgMCLEtqyDfx188f3jxDNrXLzoWAtBHFM9hU0Bhd/pLyZgki2mt7DVw6L1ibSM6pZAnsSRQri7dv/rxJnOP6jl9/mk6lO8pDiZHJSIZeVK0jlv7sYaF9G6ktLK/OCPnLRpn1dLqr3KdroA+m8qBVtAxMCzGQDFqcJi/Ksz9oGYqRFYvmP9XwcAbOz2VKhRv6zPFQrHFSyEkyaRNjprvmlDjuRhYkRWUnOqOCCsujaU+FFyeuf3kKfJzxNWdhyWGZCrNQODrxp7a1MBAkUVQKKq8NWAPLiQfWhLzADZ5W09lEqYUKFeYO8syr3+RUOHWAbtGY/ZpAKszfCC4kwIPJjwQ+XYjNm4Il8raxXxdii+YHQHpgeGbbjmzRAxxQhW2G3XzRA/x3c/fTlQHs43tBwANpXJvhobaKP2ruuc4CUBUT/6YrNBadEbosCiffuVKKcrjXsd4GGgSOuIvi5+ookXWydhU0ItbfQAgcC43GQkATx1ufNQBn1U+08TNqDy2JPyBgLBhIOFYk7CmVhAO12liI9F0rJ1o34Bkz/AUoqDBEJgvRCLc+3f+Pnij1ouUrqf1NXR54O/qx6MBI9DmjaC/DXcT/gFVXt75i+LjI0nMqDzGrYoXsKviF2fTazEAzbDL4dFnHb7RncZRqizVf8UeNPeHY2zeLw7AME1YEr6MhFsutoPhUeQU5rEk8SFzt6WMy8EvnVWPN0z35mgjqZ0RXWjsMo2BEFT5+5ls4A8qDkgxYpejhKF/4AQtU5IQTU9uLhqaZmI74S87XXO3p+2NGuBmhVNjewkdamzUEH0Ti0eulxf7KC7WmEuJv36zNDFy9AJHtFG0687PmL6vtM8Imi6DQBVU9XK2+MHQLzuHRjj/oOAeuKhwUxtxgmnYNbKWIlYWyUCRTf1IqTF0uNvQls/1Iyh+8fXbysjSkwh5IgPvJj89SdvOBcAPu0+0WjoLjKgtl46wriF20s4rNTF8+UB2Ae9B945WaIxF3j3/Ou4AN2DMIuJDGVxPdLWcIzyDzvf+zawOc+a3PDDc19kxMcsWetFtN3Az3N7GQs/9+RFyQUpbgvxAaBaf6fC8VXjLnW2yYx3BLFdWovZ5oB85U0jIkzZrrM6OdjefhbBkv3JaI+HS2U+/SVlh+jVBeWygI8kMAACAASURBVHLBHDVNpsKQf2myt7ay5ExvbOgSAdBsWi2X6Uma2lLLOBSeh0hg7/2NSlXgBgvkDaBsaWOiCZiW5i+rdbIJJjv4C4wuf9A0tPKqL0AG2ozhYjR09cJHsCxJus65EIr8UkMqJcHDjed661Wk76YQ72QlGPpsSoXthVbl0DdPKFphDoJprNNdpNlvniyNdNHVoHlhJmqhftZ8YMIeG234jD7LxR9dHSVROXg2MNuVH6Xij64aZkgiG08IrTB1Uy1iMhsFJqfCS781+X16eXp287xSpfD9cPE9UeH1qV669BG6h70ErovJjwmcMxWGwI/GC5cvsvlDxWIwGhnYA6Z4bJkhx274q0c9h26Us4tF3z3+hjTGRq+DeqA7khqQpafDncELH5UeJywBDkSfqL3ZOSrOoFjOWHDFww8jIo9SS2y4oyHY8sMo0aMorq/ojaCfUD10GrdHQqCVaR+18SdgGuWNl+FQR80/jlOPm8zlUPuDKGM/zpGi7JyGGtCZatmvX91IIwlOVnTqzNUHETBIMGNLdHVgkmjBlrxgzxFdERODYEdoikhRtPta9wwTEpAo+xhdxIkbPfc23XOiqmNC4sFKG4jpgrLkVr/yTS04YeYk5EqB0BFoWNfQvCHMSp6N11Yz1jejNw+XSmGiZUBWRptqhQbOoUw5/87SazPhh8N9XTfh2FxH98OJ5/SM485Kc3cXDYpGdurtylkavnailoUwtM0gLq7PjIapRe/KLw0BwzhYZBCJ9cWkYkBcMZxyPI0Xf5v0dlmPTkNsyCcanQYUgrrJbkzsoBDt32GCzKQlH315MxRZsJFJWuPGTHfga7ooinadP3zupljQikrJXsFcdIguSmWltX2bAQTatemeJnl1IeV/Hvra/ongbuO4TtoJwP1+PetUeH169HrtcXrKkrAx6+JVGk4hK7sr4Wbyoz11osIsFDuJxs65LItCLgQX7K4sVJi7FFVP2NBsZN0vbt8LCff4C3mjgVKJTs56+FoW1MXRFhLsng+KnDAk3H5oyLEVe+eO4P/Id74brM24SFiqKDxvNgwle3ZwloI0g90ueqQmjI1Oa+O5zDhvSootVxkKTKsIeCiN6tjBoyrplmx+VVuCGfYNAq8m2i8cLj1/fZIbkKAkIAIEgYW++lOHK6/tsRk/G891FqlwbOTmmY8tdMEgCnuBhNEhcTH5LURgadj9LQlVL5zGR4AMLf0BMR6BZp3pfQk2YUCMFC7LSmC7RcTzvE6sAycpvOAoEUrQPusaEGYS6gZoNgTrfZbpAn+TEEKUUV8JORFMApaafuVfp3tO0PC24PHqOTfgXl98GXnYU9sogn9SKnzq+qRZg2IyX2FYgQNODU448Q0vXav/hSneyDloODlE1kVmQxrqadJfRPbjDrc7OQp9NRQsowz4YKBjaGphieqx4JB199UL10doBxkVrnlgbrZhcofTjDMC3kkjlzfnut7nU4Z1IQKIACKwVxHIIhW2V2shFVYmNnvFYe3wW5kHM5stdhyEsuGvu4UHJWb/BPRITsdfhVvJsVbyYeRJYsYlTX3Ws65K23bNTOwZ+aBk9FxPZy0BTTEyEcgw90P6wZreaIotUTq4Ztrq9CoBZ0xG5DD2+JgUsRuRFhIZS/eTKERigOjp9ZKmLuJMVCuydbn/lh0D959qGkl+nIhRYa4kFrVgIi0EPJNGY3zTqleSB8yPCCACiAAikAEC2afChadqQ5EQce8MH6TCygxnT4XLa+A8MtPmSnZvnIcBu2WODKlrSc1HXFry5ceFUGyhj5+qNo7xSg4OoYRTDQ+Ns667dyr1inwAGSWhlajrGds4Xkw3b3eG1wJgJlSYWjhI7p/sqTB3aKUYGlFfPMRnJDWxMPi00STq4N2nEy8EigRaXxZIha2YZHDFK2lMNUwZNAmLQgQQAUQAEUiCQBap8Pr0xBC3Lqckg9AvpMIKEaH+H6I/EL8zuuYjm+nPwRESfAX9X8nxw1LIUMXToZ+4R+H0lxx6FemWq2wrHM66fq0ESeIBckgVRU0Du99u2BvyQckotYtgprcWh6Dsuh3XVIaV0pQMqHAsRCxbZFf5TlSY+gOSnyNq30ztIpitM7eyEE8+u27yP2rTZu67x5eG+1j72/c7RfNGGhFbRAARQAQQgfeFQBapsJiGWZhv1Ao7DWqslziCASr8AznAy88tiaNy7FeaB/6Hn+gO/lAQrsAagy05iq5NiDIdCikoJGbc9jYATu3M1+uekA+mXOckkiJptrul4aMcLBBkgYd0+lQYtLmqdbITFWbXuYesN/FIE3FvxFk71RCrRRGJgrVWesONWmFXbN4TabTIkqsmYWmIACKACCACSRBAKuzBHONy8hNeCwgbpgEq/7h2onV0oudrWR8sp1tGXk30DVP3KIz+AjdiaaDF4dbzTSORH4SfUZVP1/72aqjrgdVTdxJZydufXOIP/aLmtpIqlNoNGx4uiZxYaGhy4aFU2HpsjvucEksLqMvks8KeCnMLGUN/TNtpbLawjhgZSC20JeIwZfJmMypsPTbHjtmJZmPCDgEvpDH5AOGviAAigAggAl4igFTYAzRdTX40OLjMU/2nmv4wGXS+Xpqbidk7NOAq5I8vNAQbaFgmraiqhsTLUbu29ur5vKlYNYMp/+756gp/2s2n7MBZ2HBWRbWtii3ERCu4TDcdZXMEihJQSZfPRtl0kO71QL2k1uWlMSosPEjMv4w8ZHGJaDRUYPD0XsWygqm3ZVuI+QdnSNWmep1Gn0uULJOQxoN06awGPZBGLgPpVId5EAFEABFABFwigFTYiRBkcN3N5McPvamE6YNr4Y3XsRgw18VfzoGRQ00/9RkZ/eGzU2e+7egemYG4cdT/l3o7IS4QL2dtITJFojmEKYfju+pDzXIJGfTUpbRl6XY3+NMmUcW8SS9Lo70L72Zv4m/ZlQypsF+19jY7QqemLIZalw0Ho8IWPlpQeTMszLuZ7bLqS3jtlxpyFzeZIF6H6ZXMqDAJvSEZqR8uPd4yuutFJUsSKBfrXhrl0jCNCCACiAAikG0EkAp7MLvvfPKTgyoT+nKqpbPpoL+q4WoDiW/JLD452aUMjGn4xAFEJ9VjU2foAolsAoat1O+s5m8aIlpPXqCFfmVb2rJU/s7xp+o3rpg/0TasBPO89TWEhmno4/p4Rk8/63melt6ODk0KAkpZuGrPQGSS1VVYwvkorF7+UDx+0MN2WmlTtxJN90FDJVkaHf63cDDMhKSBeQ5OLvNoK5wcnxS/upXGtEQrRRuy9KBhsYgAIoAI7EkEkAp7MKnsfPKb6ykHBV5NfRUcmyO0aWnx1RtqAMpdCrCDcfS0Fo+i7hCx7C0zF67sitJNfx9s8U93fUQ1hZG3bziZVn3TeoBDrp6QneNPaQdHG4bAql+XzA/osTmfQY6TdjkNKkxZuPmUGxkLRoWTaaCZWbBTszXD0Jkdm5PIcZLhRiqcBJzUP7mVRqTCiAAigAggAu8XAaTCqee2pHSH3O5i8htt8Ota7S8TXQYVhuqog1hdA0ez3IiiqnPuLTNXFdvfG69YNPNQR0OwpaZzQjo5xwqBfX+oyKeXd79881sTkKc0D1F5gE9KAF1mcIH/2zdxZm57+FKvohIGPWtfM4yLcPe7NVoLxipO6xC1I6mpMHVgbDLMoIWkpsJ0qeO/cF1RCVPFdlcNcSuh1zxkgVhZaUVNQ1zDrTZVHmWkwjIaGafdSWPG1TmPIxaFCCACiAAikBYCSIXTgin5fONi8lsInStrmuQqQOlgE3crARafETjU5dNrf4tcLwW1JYmnAC3nSmKmGmwclajwW1YIsYtgekHt22FmN8yMJTzofnJw3sOvLvAXOnLJslZejDKfdMavzFzYX/WDiPYn51fSKakwVesahctYpaTCbFHEvb/J9xLr8GY44Sd+XfmlBkj8wcbhJeNooO3oIxW2hSXdi66kUZGfdGs0DT1+RQQQAUQAEcgIAaTCHsw3bia/8MPhJbEbLlHhN9RBLLX4XPultpiYivb91gEGFZIZKM9GqbC/9ZfQOeDK9ISc4NDDbyeuHj/4j4aW3t4mSqYFSdr9s68b/Jm5raPZ9Os+CMJsKG5F+Gv/qYaHM+smWrk2M9QfiTFIU1FhqtaVXT1IY5GCCnP7ZkevDmzojRN1S8NNB4mRjH6wpic8z7TF/GXxOhZ5MPSUPgtIhV29E9xIIx8OVw3AQhABRAARQAQyQgCpsAezjvvJj/EemQqTw23Fh79s6RwlLiDoh2c7fj3Cm70WHXgwHJ5aiK1QcsN4jMZsTKPXPy4pr+3om+bUh1Nn7o+Cl8OrEHXtooQL/JkNifXUmug+C8Js2N2+fbMy0VQB6w2frhWWHP5HAwnmV3v+cAkoYg1WnYIKU8WtsGEQNdJEcips0yrzCNp0LdprBPT2l5w6821LQ7DpTOVxfyHpDmfVSIVdPRQupNFVvSb5wa+IACKACCACaSKAVNiD6cf95Mc5LvU2sBCxsf4cHnjY2/AxMLCDX/9AM0QoS34dHR0eeDgamVuIjlyjamMtOAwXVZcID4e7Lx0H/fGphj74iZXgAQhpClw2su0cf3ay0FCd2jSP2wcrnHXr1USoiXlxBlUr1coXFJ+v7Y2uM1aalApTP2gyw1a5bFIqzOybDV21ei/tBStBGDpDnvWZ4ZYvj4NnDM7mfbrmL/noy5tDMSoGSIVdPQ47l0a7QbQRSMyGCCACiAAi4CkC74kK7+0XuvvJT6XClEJJTEUiW8wmmF5hql+2iS//dKY30ukQZ07OxpXHrub+nA+ue/x33IX1lYXYPPsspT6RZuBMDTPMgZ09fbaTdWrr9RJvdmz+FefuRvOS3fveGrk7K8qhNOKoIQKIACKACOwAAaTCHkz/7ic/d1SYh34QjLnk2tAat5QQF20TyXx1eYDMDiRyB7e4x38Hlbq7hVovJNVG704i6A6WXSNySbq5C6VxL8CeZETwJ0QAEUAEkiOAVNiDacD95KdSYVljZygdhfbRSDD74Lfr0xOGI7A/2Fmu9cWk91KlIC8huZTk+a/u8X/fHYx0lZceP3xpGNWx7xv57C8wdp80Zh+TvTfK2CNEABHYSwggFc4LKryXROr99wXJx/vHHGt0QgCl0QkZvI4IIAKIQH4igFQYqbAHCORWuJF85BZ/rF1GAKVRRgPTiAAigAjkPwJIhT0ggjj55VbQEf/c4o+1ywigNMpoYBoRQAQQgfxHAKkwUmEPEMitoCP5yC3+WLuMAEqjjAamEQFEABHIfwSQCntABHHyy62gI/65xR9rlxFAaZTRwDQigAggAvmPAFJhpMIeIJBbQUfykVv8sXYZAZRGGQ1MIwKIACKQ/wggFfaACOLkl1tBR/xziz/WLiOA0iijgWlEABFABPIfAaTCSIU9QCC3go7kI7f4Y+0yAiiNMhqYRgQQAUQg/xFAKuwBEcTJL7eCjvjnFn+sXUYApVFGA9OIACKACOQ/AkiFkQp7gEBuBR3JR27xx9plBFAaZTQwjQggAohA/iOAVNgDIoiTX24FHfHPLf5Yu4wASqOMBqYRAUQAEch/BJAKIxX2AIHcCjqSj9zij7XLCKA0ymhgGhFABBCB/EcAqbAHRBAnv9wKOuKfW/yxdhkBlEYZDUwjAogAIpD/CCAVRirsAQK5FXQkH7nFH2uXEUBplNHANCKACCAC+Y8AUmEPiCBOfrkVdMQ/t/hj7TICKI0yGphGBBABRCD/EUAqjFTYAwRyK+hIPnKLP9YuI4DSKKOBaUQAEUAE8h8BpMIeEEGc/HIr6Ih/bvHH2mUEUBplNDCNCCACiED+I5CUCk+/+P+WVvPwM7+4klef//rrv/MQpUyblFeQZtSYvYF/puOVvfwZgY+ZTQigNGZPMrHkvELAJPn4FRHYvQj811///X83V+TP/xBf/tfs/15cWcdPSgT+12wsZR7MkD0EEP/sYYslZ4oASmOmiGF+RAARQARyi8DU8zlBfWnCoML/868XCfyXBgIIVBogZTEL4p9FcLHoDBFAacwQMMyOCCACiECOEUhqIIFUOL3RwckvPZyylQvxzxayWG7mCKA0Zo4Z3oEIIAKIQC4RQCrsAfo4+XkAoosiEH8X4OGtHiOA0ugxoFgcIoAIIAJZRgCpsAcA4+TnAYguikD8XYCHt3qMAEqjx4BicYgAIoAIZBkBpMIeAIyTnwcguigC8XcBHt7qMQIojR4DisUhAogAIpBlBJAKewAwTn4egOiiCMTfBXh4q8cIoDR6DCgWhwggAohAlhFAKuwBwDj5eQCiiyIQfxfg4a0eI4DS6DGgWBwigAggAllGAKmwBwDj5OcBiC6KQPxdgIe3eowASqPHgGJxiAAigAhkGQGkwh4AjJOfByC6KALxdwEe3uoxAiiNHgOKxSECiAAikGUEkAp7ADBOfh6A6KIIxN8FeHirxwigNHoMKBaHCCACiECWEUAq7AHAOPl5AKKLIhB/F+DhrR4jgNLoMaBYHCKACCACWUYAqbAHAOPk5wGILopA/F2Ah7d6jABKo8eAYnGIACKACGQZAaTCHgCMk58HILooAvF3AR7e6jECKI0eA4rFIQKIACKQZQSQCnsAME5+HoDoogjE3wV4eKvHCKA0egwoFocIIAKIQJYRQCrsAcA4+XkAoosiEH8X4OGtHiOA0ugxoFgcIoAIIAJZRgCpsAcA4+TnAYguikD8XYCHt3qMAEqjx4BicYgAIoAIZBkBpMIeAJzPk198c3V5ZXV5ZTP+LkVP42s8p23GrU0oZ3Vjy/bnRIJlcKiI3768tu1w/84v5zP+O++Vt3e+295YWc0G+O6bGV9Z3cigFOjIplWKVmMzm/EMyslWVpTGbCGL5SICiAAikB0EkAp7gKu7yW91amhkcCef6eVEIkEpzvx0eGhksLfzYnPjyWOVBwr1+t+hX5sj9UW65tO18s6pFFR4/vZJyOkLhu0gid05S8rx6RV35u1+T/AMZ2+/tPz+7tnlo7RwXasb9JyvuMPf0trcXAD8L43ZV/4yVOHTtYNt4/Y/p7668Wuj5tNL/zOXOmtGObbmxpOK7tRiiuKW7wcKfHrFj/ZCZXfzWL1P16xATbYd8OlV91ftbnmv1/aENL5XxLAyRAARQARyi0DWqfDGXyO3mwOlwM80X/GBY5VH/tl45c7IrJNyMbd47Kh2d5MfTO3AMinXTPt/ylntbz/SPp1IbIeby2hppc39ZrYdNZEGKxWGK4UlRy70xRKC6e6AChvNgMaU1T/a3BHMjje5w18tdnHsRnPrxebWu1H1uvj2V/9FyCD93357YGxq0aqnpPeshv9DCrT53J8WpSYSSajwZn8dW0gEfrVA9yhoERjLakQsRY62hnf03PEdA7pvwHcP3iUSlKM7S2/9I9pFUOWS3QnLZ3Gw/qCu+RvvzVt+opnNCmBbKkylt/rKr8qqcvyF06BIwHud9FIavW4blocIIAKIACJgRSCbVDg+d/dfjIqlnq23Vqcic57rC60dzsYVd5OfPZe1IMa1qgbtoFRYUFiRofjAsdNV7U9ij4KHjMziV54w69VEOY39jC3xhkFOrvTNmApviGb4edX+s7dfeDkO7vBXWjJ1q5Iif+D7J8oP4osN9WT9KihvvB2xUFXKcW0HQhkCRypMFboVXWN3z+ua30JzVWoe+LxE8wUH1R2AqfZKzVd28cfOCr9+6NJYJtYItNtCNvgIku5AS4AKBwbsWOwA0UNzKsxlyRaH5BcpSsLAZmUw4NO1bwYZqwZ7GwqR9ZFx2sEQg5mNhIfSmI3mYZmIACKACCACJgSyR4UNVZZ1imLzKLRl+XF71SclJM/JUMzUul3y1d3kxwwk+n8dVBS3PwWPMIpQWf+TouviOcFAIpFYjsCvN6opzox8vAhVCOppRzWO3JJVkgmmlWQ5i0sv9UUi3aXwtfTGk+WV1Uj7aVp+afszQ7dHiAhr/93vKIlkraU74xuTbaW8GVX35yNX+dLoaDBsJY07HW53+Mu1Tt84pmu+kgNFRE85aKtApVT4084IU3DOTz0e6b/TWlVezPC5+kTlmoxH2vBFRd/pQIXpOH4emqUqWL+ufd5p5ttgJLMB60hYsagmLpG2Qz7GgGfByqXiTqZmEtuz44oEwlgbVJjz3QRRHgtbcACK/wRUmPPXqei0IUJWPbFxBVivuhKjIBv/nwzFNsfqj+ra58rbAySt8oaTal8ec6/T3kmj1y3D8hABRAARQATsEMgaFf6rkzM5XfukddDYqdzemBm78a86YVEq1I37lQonEonNyJ26Q4WqrtTYelYVgWTiLz5569mGqvlLcG0lIR/xJ5c/pAq8souPpT1iShrIqqObUCv6D26suDPGbYXhRn/j3Z+IVi/Fh6xe7BV+9Y8SMg9mysh3c7c/52Uerbs7I7WNN2cHfz0jH2Bvqp0P3QaDBHvDU4qzzbJtOzbUSnm/yjUZFeak0NS/J1eOVR4hn7IDfl0rLIF0ZXUv2M7S8ZKU6EzF/nn3rLyBEu084iu5HCElh5t17VjnlKhkbYTQRMMuYjN8qUzzubVRATXz2dvzzECCdw16KpCxUmGq333RXUGslpWVWHxlenDSai4MogV3xV884QvF9pM+XfuinX0df9ZPenS2Q95ngGfnwKUxGSQBSbYTnkljthuK5SMCiAAigAgAAlmjwpyZkU1SeoTLAfG0qHAc3BcoWjSH4hLMlQFVkjln8vIXl5Pfcm+AMU5ZV2pPhTcHvwMNuk/XPu2eFcfmVlaXYT9a8+lM+xgJVRHVZskhxrSAb/2NaS61ojKgXO3kGJaZClfXf3/60PdPCKlyQYUrLtQZ5hlUqUkhF3Tcp2v+suo7Fk6f+ci4xF9UGL5Euhz4dTs+BMuAL/rIwUTTP0cqTPJxaxBZH5mcCk/fo2bE35w9QE43BqhJccfj1cTmk8uf6FbaOvtjdYFP1z5pC6/xlpEmsfUS6YIgo5QHS0ya3EBXI/6yi79npJbfjj3uH+dn4Aa/0zV6vBKkNA0qzJvK1kKVVUHJePo/Y+H2Sq3obMBiUU1wMP8z+HEikYg/CpJTd4qeG/aj/I39GfXPXMvOv3sljTtvAd6JCCACiAAikAkC74MKH7nxzFY9E+utO3Ks8hB1cUCIEeNtTCUG3diIhAJ865kws6Kz9b3PpA1ooVQDRdriyGViK8k43IHP2wb55J0JJhnndT35ScYkgjXaUWG6wU066C+7SA+fGdlU5noppGh5OSYCHEiQnfTl+4SI1z9ijI1RnAQ1FSCAU4ICRqikigOfNxonwP4ztpygJ6KmO5i69/SNyGrsvqJRPvAhVXyy/40RJx3xgLK4xh9GfGsk4Od2ETTtq7zxl0UYklLhRCIx/j1I4DcjXOaTU2FePi2W6k0TicTayEXQ66skj2WevQ/LDP/pi0PzcTaCgXsriURi9d55XTvfTxj8i/7qo8S2+MZTCyXcfHaDDFZx6fcjy2JzgDfE/u9i30mfzu2n5zo+5YQ7MyoMOmn+mMNirITQ+s9DMSrGXCkuXgt2xr4KFU4kNsM/h64w5yfqIwAyb1eCfRe9uuqNNHrVGiwHEUAEEAFEIBUCWaPCMHcK4nXoX6HxFfNuuKEPVomamL2YAkz9VeOGj9A1Y3e+4vv26kLLXCjrWVNhsePfPZj8JF0psyUwOC5T+DECRNCQNriNbGrfLw2a7Dv5/jIx+rzyBc1MqDAdhYuPVSpM9twhDydnYrDE6ChwGcN9GraqeWncUFhIgpGAn+yNEJSiU3/xAH++JNA4haUaYotFNVOiG5pXa+sixKuX5m/lPunSosKRq0CgKdrxsYuwPqxoJ1batp/Y72CEDeINQyOdobw0tvF78BCh9WcvP5qzvX15/knHF2SL4NDVJ5yyW3uiXAGKD6L4bsRwZ5YJFYaFHIgu599w3K2knuint8OXSrSi4CDl7fRxEMvCBNedE7VxgEgmV59fbG6995fZlJmJ+k/E2t5eXJWeefzFE2n0uE1YHCKACCACiIAzAlmjwpInL85+io981T740iDEybXC8cetfIe9rPrW2OzK6uzjdn4UrKT+ES3HoMKkFn9Z1Xdk4zXwKbcEMFRZzhi4/sWTyU/qr058Zhkcl/APvvNO6KmiKaR+hVeEUpYbSGxuL0eVo05OVBgMIc7efsnJK2x8C0cKgV/ZeCWnwiI/GYWjdfdeJBKTbSevjkV+Iop/28+Vx5uRn0cMk2UXo+AF/qt3YXnA9/pJ+wmjLWob57yNNTCVVjgxDz6AucWCOI9oPTZn2PC8e3KZ7o18Ebx8iZyQ23jUXn9/ztgEsKwGSTsXn4yDgSwZwaI2MBV+RsppHktsjtV/WnfvxZzzzkAw/G4zfCsUMfUuyShQxfClsThwfeYJOG0qTBdyFXfm4tHO0sLTlyc3E3Ai0PBosdhfRR1cUCMKZRGrPuYqGsaQmRoPbUMqbEIFvyICiAAigAiYEMgeFU4k3m0Ocr+2nA0TJnfou/6YpIkSHEvVtDFqovl0cJHLmr3cy/wkcO2dNEfKNpHv5jrEnqk/GE5/vjfBk95XL6gYqYk5WCg8ffn3VRMVFirhUrODAmiioZTVq3+cpwYkVK8pI29JB8OJbfBZ29i/pVDhRGI7NtRWWigcqyX1KyyYnOAofuA6CnrbG/Nzy7Y+GZRsO/niAf70lKdCfIFW+kouT6pNSkmF2TlCpssXVNgCvnA0BrS7KFB1Ute+CDA6SOs0PIiZdcMGjU4kyEAzjxbE5QJx8cHdONj5A6ZF7SQwG8jn2fpLZzUfN4a2UmHhyQGAAp66PfsjiaNRevXJ8tZ2IrE921t3yFdcUKhrCt9NUJ9ocB1WUyrwxrc0OW6a2YxyvUl5II3eNARLQQQQAUQAEUgLgWxSYWjARqSvXrLfZYTA2Po0OJZChVf6qxivOn1lcua0TAAAIABJREFUUuIB/HAYPyYvUWG+lU/7HYfwWlCdICVpIbKDTJ5Nfu+edVzqY84BYCKX27/xtDPwvb1TWDjRT20eYLFxaWTjXSJNrXBia3N2cnrZcH/LXXH91X9ROtvkbCvMrI3NVO9o23h8e3kRNrzXBqvBHILrmKc7Pj9d9V3n3cdzktn3DoBnt7jHn2q1uS0sK5ahyk0m2NWUVNhBK1zwN7N2/AqLHUcsxQ9c7ScaXLBtOODjfj/YEm5+MFh96HsjEN3yZP9gdJVH0hZrGEMAlEeJWB4/6airDgwYR9CWH/XdnZzjJaSNPChuyUAzJbTJg8TYRb8UB86gwonE5tiNW082Fvuq/GXV9+fiM91ke0flwdAI6uDCISoe8aDcHV5hlcrq3qn70iE8cfYOTiLK2dLup6uM7qXRVfV4MyKACCACiECGCGSdCtP2xF+M3VDDbZzsZROzvVaYGlwKLaNNgjI2gwqb5zxKWeDGi48zRCXD7C4mv/m7F8wMiZkTfCid/1OPnUn2BuACYnOQnPdSITp0qY+EYnb4yLbCvK+CUXEqLAFoKtz4ejIUE5HMWANOX+kKHvKfvdjWWGp45+WH8OhyRaxzhK8D3oid/XWBP1TItdonb6iI/aeOHOryGapxkjslFc7UVpiYZVfeiAL+BJ/N8Z9Hlt9Nd3xSLMILE72vYJ+GIp+hZVL99n9Dz7RtjrdVH7hAnWAA/kbIazhdp6jA0wWeblwYawZZK7xFdNLGHo5MhXnxhp3PJ23h+9Y4ebp2qZ+GSCxtNh/pg/OdsKy1qHvH2+weIniCzK8F3pLs/XUrjdlrGZaMCCACiAAiYIfAe6LCtGpymkcwNnrOnR/bIuxKJkapeVj6VJhv5tr135NrLiY/QUDNXNagmwIxmwQBgZlVcDZc8flZOFkYrLbJb6qFs16CgmgJv5h6CGDImBK0MvANqZd69dpY22S2tj6drnmYazbK53jJXtEUF/jD+FOzYGe4xLKN5KaNl2VVlaEMPUgAKy3vnLIEXib0l9v2wBYHF+N3Y/V+7iZCrZp+I57OoHmg6q6+C05UyLE8XloCliIGnbUrxOkaMwqvG2TqfJkK0zVAUdmRNgjUB0DJhrzxlyOXwYifmUgtTtss1Ug88M3ILXAY92Hd7clVYUsFa2bDmbHwZHLP6uWDtt7CmJ065e11t9LobWuwNEQAEUAEEIFUCGSNCtub54IbJso5OJmw1wq/YKHONB/1SODUD0MrbKijIK9RrI/6mXIqwYPrLiY/QUBNJDXNr8EwsxIuufw907HVP9oc7x2cfWe4mSNaZK5jVrfpQanMABAt4VSY+nLmHgyco83BtnjdYAQimQkHt4nE9I1y6AXhecKIglAZ5i3B1lXZjkbDBf6JRGJ78BvSziPBPisz6/8e+D10gTUtORV+SYP8yRbGDFiZFBq9BFYaGNpmSxHZyIdUxAJnJOBxYN42gHGaPW/EN5dnnvTfaQ909VFDC1IFGEAzHv+7URqoV+UWGs1Jkdoaq2euDzkvn++rPlZJLT1gWCFQH+0FRISmPDX+YuTKeQg0SO3gU1RDft6IdJ4EhzAF3IMy2KuAcALH5b6xWe02RSIVtgEFLyECiAAigAiYEcgaFX7UVvr9iHw8jtQsRwO2aoXlHVuq+gLSbOK4pByDZxtUWDE9lHftZR5j7r43391RMYc20Pme61kdMiUY4yxqGydch1A6Srni5HxSIrEy1gGmk/f+YiYKTBe4tTr1uO8G8Qos/lmosPgFEmJpYVHlrt47X3Y5Imy+Dcts7lYCvPNy72z1vz+D4MZqUDS1rky/ucKfWWvYuRBOJBJspSH9moQKc2fAhlcE0pOkVDix3d9OIwZDNpkKQ8O48MN6o5mYCwPjFKu71fCNQClf52i+4gNtEhWmzqFpoBAorbRrjvkeNswtMgB7tossDKraId4bf37Z/dRK54u2y2DxLAqlckjINwmn8mQ5Lj2wdEns+H8wHJ8f/L666kcWJhrieoCxionjOh0ujHSWojM1MRKYQAQQAUQAEXBAIHtUmDKz4gP/5BEZ6s6S0LJ85hNqrdiPdGOd/FTa3Dc41HcPQkyxfX+Sv7j0UmgwOk88pBLVV7CiSDhtVWfWT4K3B0YGB0L1JEwX+4iKHBDw4LIrKuZUf7pUODHVXknc31KKRqkwGL8WlAdu/NReATjUP0qwk2H/DM0mEvxMoWBUBmPjITbMzXKmwonxoZENw9DFoMLCCQbhc1uD9X8jR+X6f++kTeIkz1zRDr67wZ/5JOF7FJbaqYcNEV3C3kAivjYXvlVHXPlCwAjVQ1xyKiwqtFBhyqFZw+ZJwGoSXxCWNBINDTeXHPhn45U7g+Mzm3AMTilH4s3kxoK6wQ0g9yr4q+H/tF5sbh+0Rj4WrSOrAuLsTDvaFnkHPoB9ZP3D/9HjbiX1j6YNnTT8Fr6kF/ytfTyxHWeGDrKHYHbWrYrsHlRWieNuLNFvhI8mRbG13KHmsbhKhYVkikdeTlhWbrzJWfvrRhqz1igsGBFABBABRMARgWxTYYOSyvPToQv9Bl0wOB/LzGYvFqPVtgS+ic8cV5E8B47CDixnwKw6yVWFIwauf8jK5GfAIpFL26Y+HiSBCWQqzIxfz95+RH3cgqp4cW5qZTsxH6oqD1z5CRR7Pl1aJzDGtgMqTBvFGYnc2ukbx4qPfNV6e9zwXcCz8R122x5leNEF/syKQ7EGVmtnQZjFlgXHWZZnnraN37ZjKgwK4KLGfgiwvDwzHdvcpjYP0qipbSXfFCqceNR26J/B/pfkB0pGgfpLSm6yxwLGx8n1xOxhpOEwmOkFC2uX2Iy0k9Us6MLV2hPA4C0lb0RC9W2GLxTw+see6OVHoduP7VxbUB15eaXmKz7ZHFTUvagVtkoBXkEEEAFEABFIG4GsUeHFsStfVcIBfIXLFvyt+vLPZhdaxGmupDA2FDlkh1TRJRPOUVhy8nuxs29ohSvuPBtvOy3VaMtL0gYmk4wuqJhzNelTYVoGp2j1j5jxq/ZF3zIvhHsxE/pgXaOAG14FFCpMo59Iriqk+NhFZfJ1ESWbc1xKhVen7J1X9F2kBsQH6zpoBnJMyu2/neNP3Qn72Nky+3ZwWx2w6DWWHJz+QsDwTwMX74xMAWe1FLJzKpyIG/FoaLGg2lc9WpjrI08EGEKYf4DvQP2pyYT4HWxXDlx9Ji5YEszHmWT4sT146ezlofn4u9X+72AJytac0NnvRngJUohmuLTxVz89OacVnr09w3JJVBj8ZpBnvDJwa2xW8kLN7JsjrCVkB4kYe+Tjv51LYz72BtuECCACiMDeRyBrVJhBt73Bz10R84ZN89RuAGwc0rI4/2cB1WxDA8hUGPZ3uYpIjkFg1JKdVFYmP85ipYNoSVsvqHBv30lQjRPqJgopPB0g+86NpTQ2dVHbXbD71PyNg4xwqFSYnYFTljEG+ZNU72LdolJhY1xs7zIuytaxSfuX5Mes4J+kvqz8BPgzNGysCC7C8FUU6VrRWRhKsC6g1t7sAdmMxzdn7zceIMr+sXtmewPID652C05ymyUStZieaEx6ii7aSRy/WNwAx2f6qj8kElLwRYg5w6ZqYP/ZK4/nllfmxu80khubxxLx1amf26vKIQZk4en63mcbwtyfRsMx4lQnCF2mnsj9JRXf98MCAwLuUMW8IN8+/cAngfrmdmITZb/uYtf77/SN269SsjKQe0Ias4IMFooIIAKIQH4ikG0qnO1eG5RLcLJsV2ktPyuTn2CxRghfa83SFUGFHyXiL8ZuX+okHFc+Pijz1x/nE4vTg5Nz0oIBqbAEZg6SMhU2pNpYM0jDZ1yklsTMnx1ftxxtDW+p/kMcYl8fAecP5DiaMP9w6HjkP0ESTFv6t/FrI+zAFJe2jRm8NqFECCftpDEgKd8lJPjJMjUaNlzEQLNNcUwSCeZ0gt4OniuIQTz/BxJefYi5s+Adt4XIp5PtEX7je/iblbcBbfe7zcjjZ55EpXkPONhXsfgsHJ3fkPT99tn2+FXQECVRDCXr/vbyCsQtSpYHfzMjEJ95EnGEDR4rsTg335rse3xxdXc/j8k6t79+QyrswXhnZfIDN1VgilB3N/l5JtoDiQorXVp7dvdStWHS8M/GG0PzwlerlFME+5A9rEm/p0qqWmF1N0DeGTCldzgfKK3JCv5KDe/hC+BPPfJmXJtkjvJ4mnHNdAuB+NI70c1vhtuCd2fs9nn4zszyyqpYa8XXRHg82jJD833lzpjZ1QxvfJyLx8ZQ6B44SOa/GH9NEUbI7pPpwwsx7slmKmvSuNlfR9TqgV8dp3TSLQl8Mw4cFgsThWWYODmaRgm2JVuKTSRgvyIWfcZtXcCLtr+xP2kPHAZHEnK7TYDxF3ai6FBWri/DWncHD138yZVPijWbsPZOHUoBmrKd4oWtmtIOY6fX8khyUbQIEj37m0gkMmm5WR6mzUtfGu70w9awneDNwhbogeCY3bSodCgRaTvyafBelEkamKsl3U9T78Zv+YwAUmEPRidrk58HbdsPRSD++2GUd0sfsyiN1GNdYTDsPGnzFWkyTbllA02hwumUYOxLSJp4KHa1/xsa+a9EOrah1/9ORm/j10ZyvPKbkMLAhkYGx+ecOySGPcVWiclvN9k3aA6Usv2Q01XNfZFsGsnMDrRfbG67y0jS9uydgHACKDpgJKgDxx1QYbHr4q+7t2KU55xKAZoyjkp7MrlRkgFSoCiHa2eUWkyZzV/FqWsXDfCJU/UGMCzO5Sdt4yobJueUbNz+GDcaqXf0jLVoIXe1KfnzMTKz1Opge+vFtkHDSYAlB17IEwSQCnswEFmc/Dxo3d4vAvHf+2O8e3roXhrt40gDqztQqIvYIsZWDzeAuTKeiL94Iohmf1u15tMrvh8UV2hi/MX21P3Wi83CXZ1CheUS1Bv76o/p2rHgXbMSjtlkU70sbXzpV9VHSADRtv6hEWKItaU6lTcRIKGQpqNs2IZxQk/YlfNG033CsC8+lkTkcSujX0VlIroQs9WRcnmWjLQdYh5UoMitsYtHdc1XVn3f4WQn7aCgjDbtMPZM4JAAczvIDgwc1A99HrRcp3nEmNJCgVAmq8gpW5IGtFYdI+Ny6J8ObbhvGDLZ9IwH7DQtXexzqldhkSYxUYDRsq4T92zPjsunCAZvfFVc8Hnb3V/liyP97YGCg4Eb6sUpuw0oCPEjBZaHeqjL12QbNVQ2kh1KFg3GRC4R2O1U2NhGyeEGmfvJL5cisPvrRvx3/xjunR64l0ZwqaEf+JCqVzP4n4b9E1BCOfbeUSSvHdwBn4mPvtsGN9WiMIdsxEufNWciQd1cChK2OVZ/1ObkJd2bNjMJoDhHvqLcLkAoNS9n+XH3xebusKoQNTMkQrZaD/0rNL7CTSbi8/e+AT8n2bAap+cxiL9tCSvaX19Z/e9UCWnMU2R18VOQdOqLdnWl8YSbkXD0TAuGtL6aFKJAhb8ZtNghmCwWBgMSyFI3LMl3m+Grp7nnRMuv8gUINmnP17+qJNE92fjKLJ+lnUKpmwc6BRWGBV5aoPEVF89spelMqXyy26zfpQNNjzTI3ZfSwKFlL+zSb5jMGwR2OxXOCyDdT3550Y1d2wjEf9cO3R5suHtpBJ4qab92BtLWSMDveGQwBRVeG7v8CXUULdetKI/5D5uD35VoHwYHzYo0SR8Zf3L5KD9AyW8jf8GLn+Shj/8GFIfTEamcRGK26zTxqKOenbC5uLlpPsy0BWzPJwcV4tW5+0vtScxs3gitWlb/aJMtDDjTcjAYkEccem1anKRqpzqmNDeUk6JeTgT5esOxnrVnN74AJzA+/cBXfbHNJ7dvWQLKipvBOsKe7yahwvATH3oa+sfgygHiWKak4ht+BfzhHPjc8IdDmLcUQtX+FMFke6lP1y70xRztlY0TDqw3NEquA99lLNniYEcgkaDx6rMf9daoEVOZI4BUOHPMLHe4n/wsReKFDBBA/DMAC7NmGQH30ihRYVWb6GCZQJSLljNPNDRMxX+mTRpBepBRpU1WjguxUcxH9KzZEhu/Bw/Ym1oqFHbjaSjwlUpZmoMniRVBZVWQMxtBYpypsNpsNpC2Fy2DTEmhmUZbsmV4AeJ6ag4sh5Ak/9kbTzfN1h0QEry0/ZkYmkg7UHwIhQMt8JQKe6EVXv69DRxxFp+81V5NTF9CYRomtrAycEfyjSjwAyrMSa24Col0fwJ5KywRhkDUY4yxW0IDzkt+7on5UKr1Aw0vKhztqy2z+7Y2QjY0fHRJY5chkaCbG9rRxn7zgpDlxwN29sDl01Wkwh6MhvvJz4NG7OMiEP99PPh513X30ihR4bS1emaVHnhitlMHUnai0kcbjpuw2fm1ZLPRltk3uP5RIokB9JFjZQf8EolxpMIQBV1yQQ1jDxctEQ3NYgHxxrWU2cy3pfhO1xuymz/TDTzeuHrZsrNv3vqn/hPSOk1olLwcHRkcMjlPgOEwy4ZxC08lzbb27Pa/wLyksBpoPWQGxhl/OcIj5pwmAXd4ceQv57tUa24owi+NiZ9ACLlO2qcTq19+F5QE8iY13oySBUZSoEyFx9sFjRYJQpd9yayPRNAo0obFwQDhwXrFHQezb9blzXGwGyHOPR6r5/JoBmiqZnEZye7GP3mAAFJhDwbB/eTnQSP2cRGI/z4e/LzruntplKiwcVYs8mhsalEx8YxFQtUwT2sf1t0mqkfpHxzWOVDXLVuj3v2uUvOVXI6QbKmpcCIRf9wKoVVaw3IUHkE14s+ukMiRJm0ZP24Fm9daeYBaizpZf/IWqyTbkQqr2djNthd5wfTvu9W7XxFCkzRiuXpLet/CzUSxfSOaXm6Ry8LhTCQv6bIhle244pARaKukWBWMUE2Auw+JdLKWbs2JaK+H/tXHw+gYVBiybceGqMJYL/i0bfAlt89enB4cGrE9f6byXQEKJJS7XFNhq70yGGBon9TZGzFDWKKOxywA6sbTzpPAmyva03HmvRm5VU29phz6V8jirmT6xjFd8wfDskG52nX8llsEkAp7gL/7yc+DRuzjIhD/fTz4edd199IoUWHeOxoh/MM65siZRKSHIPOFpy//PC2HOIEbwH2vOTQPaE99LGp3OlQ4kUjQU/PcnFcine/mbn+eTFsWB79p4rhbIpEAnaVyeF+i6eCbQpBsRyoMPrDNvqvgohFAniMm/sbn7l4gSk3eC/GD+wTEFbdz3ZWi6FRUGEaHwLuTj8JogbbyBYkz/1POJpLGr03fawsc8kMDPqy7rUSnMFFh6KsQSF9x6feKATGcdOQ2MM2tF+9PCyoMbkyMnwQH5eiBvEmHC2EtV1n/E5ciOH145Ls+IUhXvlC1wrwg8Xf8e2JtfHlSXHBMxCeJVxDNV3zyTjqe/lg5G4/bWTzXz0MxtWxYNZ3uUAMVqVnwWy4RQCrsAfruJz8PGrGPi0D89/Hg513X3UujDRVOJDYiIQhzXVxaR8OnmzmHAQRVCV9SQwbQU3ScR6ZJhWm4ykP/6od5XaLCiyOBo0nIJeXiuvZd/9TkHD3BlprepabCQMIkbgQcqJ3EmWcXZScMgMfmk8ufED5XevWJ+SCdgdeOU3akUCos8lO7oSWVricibRAdnWkfE4mESSss57WkpVGw/Ga5AEr6lN7NEuZszPjVFCOdle7Y642nIKLq8TKzb77oagLsFq6Mm1dHFh9Q0NNM1wNcimzOzM2Eqvy6drQt7Hxgjltvb8bfbUfaA/W/rsZ661QNurNWnurj157dvtRujeVBDUXsjactw4YX3j8CSIU9wNz95OdBI/ZxEYj/Ph78vOu6e2m0pcKkn/H5e9+B1aavuP4R34k2AUADAfgD9+bnbtcFxTkeatV6spfRr3SpMAlft81tQFUStrlp0UbzplDDXBJ2m9DQVHaWFjdtTlphU4BxG5IkO2FIJBLbg99AA7oyUOzxPqTxF9qpOSqk6Z544+BffdXc8TMjVX8jfhgK/maQKuVAmGzhMD9ypbn99qRBmhMJdRTsm8nNVGDH31kZbGhklTyEOq+OD/EY6eYqoHBxxtH067vVyNNV8zHB1NRTsfxZXtkEkTMH4Iw/Ch4qD3REHCQ/AfboF/qMZZuNhBB5SONjCJJMhekwyQPHWbKDhYkMzu9BeBZU7ydyBkznFAGkwh7A737y86AR+7gIxH8fD37edd29NDIq/NhCoQijghNm9ud+SIT22a6zZMbtmov/1V3hJy7M4KgT8Cd/4yCz+nW0FTZvZytcqrGiSNeKzgaUiwqdonvcJO5AUQnxLHGpP3ypjNgT/766kYwPPbvxqbS17USFkw61jWL13Ui9T9eOdU4lvXHnP1IqrBgkSIVRm5ZvRuLz5nGkJ7c0f8khE0WmX2UqDP7mjrTLQSvSocKguE2L89nxQqNHT67YttDpotFydw2wtTmh/puLgoOqVbyEuJI0aYVne+uIIe/50GwyORSMXMR/VsoEGWPW9soPdJFm4Kb8yL7AiUDngCB2t+C194gAUmEPwHY/+XnQiH1cBOK/jwc/77ruXhoHv9M1X3DwpZlCgQqKUuHiAwodoRfP3n7aR6wFRCCAF/3kXJ2/rL658YBPP/D9EwGWk1aYbuOmoTazo1DUCcBif5VfP3Krk9DQS2OJd3MdX1TfuA/OXJOTM761ndgRFWbehQ1/ZAlajuJSQPTfkwSlwt+N2BbmvCFOjbZ1TVqZ2JZADKzvBzTi0k7WgwIVdliQ2B1P3Fyep0pWXklyBs9zwV9gtE6UXZZA6tfM4ILGcU9uciBY5nTHP3XtWPt4Mkq6+f9cshewdCXTaAn0Q7g6kcVD6WlaX8De184fH4W0eSxZKagVToZO7n9DKuzBGLif/DxoxD4uAvHfx4Ofd113LY1Ug9satu8Z/GpSm1EFJLEDXr13ofq2fDSHe4PS/IF7ktNTJypsXye7mo4+EiJukLqARQlGsjU3LjlF7u9tq7/aL047DQ6leWwuWeugR+xQIMv3DgjZmswjk5WQ8W9U6ywYvHI/HUQ7jwFgPXLgX3UnfeYovkoB8IXtDyib6lQA7JmijSnqSn+VT9dklpYpFbbvoNpY+zJtCfFgvV8vCI5YKDLlykwdazpk2X8rUODTD30TkmSGHZ67FyTR70zOUhQ32yzyn15w0uTZWtnQYCYiToYfpLuAvK0/Puh+co2v89JIRRK/5QgBpMIeAO968vOgDfu5CMR/P49+vvXdtTSOXZSd7Jq7R5mQHF93O3ypRPPxyK5mb02bYKJATCbkkrJFhZ+2H2IMT6HCyy/mSBhn5ipre/z7Ms10uGptfuovbhFLeZWsQr40llxdXf/IZPIh9zV7aXBeYcuNYHEiq+F5I7bDzcRi5HJkE0YtqSO2d2P1xNha5fdp2Qrz2hIJiCih+kyg8Np7WCM2NtI/GMSdU2G4XR7H1GnDSNdoBuWyR4VTP+OXBFX3JrGaWBu5+CFZNlR8TgyHUn+SdJZawIvVndQKuv+QnArv0O+eXAums4kAUmEP0HU9+XnQhv1cBOK/n0c/3/ruVhqp3aGsxlN6aKHClNl80besZGNfmCuAz0OzKkUGP1b93IgWykxCAlhhaWTbGgl8SCmLRIUhJNuBq8+EFy3qmEKjsWpJwzb764q1orZx2kjoEY/Zy/x8JTVibr33lx0Vfrc59XgkPJOebakdeqmuUVMHG/bmFF2MBemlfjw2B0lkbOcQZRvUIZ1PP3T1mdSSNEZB5KZnKE1u9ajA2HtY6w6viJsTLF50asHgtihmmkhkQAqqBxbhUui7/m907dPOCLeUsITcoy3ZHr9KA3yUnKzrvDs5R8MlkkOkM33U/uciCW1t849l8Ol2joEtz5FNAcolYgHv0wNDdpsMqe2Awe8e+hVWEM2vL0iFPRgPt5OfB03Y10Ug/vt6+POs8y6l0c48VO6hdQrfXp7s67eL8rD8ayPxjarqX+WyeDpNdpVWto1NyhUMKgzOK0AxKccSi3aWfhgcXEzEfjxbUN7a/ytx48r0asDV+F6/UQ5vre1faJuqoI3RyMC+wD2F3tnevsOLdLCEXw5WCo3GLJg9L3tjsq0UDjLe5harjBkXVt+esRAs7gnk4qVKzVdWfV8o9dMaBVonbR7x4/FJ27igi5QKm2krb6XyF8B3R4UlXSm0XKqXbE1IhYPi32ZdQVjviyd3b8GpTaLZLT7wz8YrzXXE7bH/9OVJ0TG56duzvZBBgU7OAI0xGRrJv6tpNlIOEbYTYAfMJVa9k36jGmVHZyN2t+C194sAUmEP8HY5+XnQgv1dBOK/v8c/v3rvThppwOQk7C3dKXz2fh3lweBBIjlEoLKSSIlD7gxIGFMoEt4DPaIcQqbCvA7YOA4OvoNslD6Cja9Q/vGMSf9S9ql2YfnnOrIhnsbptKRFJ/2RemtWVfLUb51qHbEZuQPDYQ7Ol2DD5CurvqM4L6OeQIg+mEczKW0emSUOQNIeBWo88HloliaO1t2eXCVOyjKlwpLi1sHAd3U50llKT0kqaBEm7QkVFqVuvOivB4MHZupQdDZwq298Rj0XSPvo17XC6htKcBBRDIcxPSq88bSTOmNRrPCNwqiFUjJbF9glcNAoG+VgKpcIIBX2AH13k186DRDnD+ydvKRTxB7O4w3+cLLHGikUDnBM2+4+72FIsWs7RsCVNEJ0DO2bEe7Kl7ZidTY6z1jI/GB9ka75nQ7VQf53q4PN5CwR96Rm05X4yyeDQ2NT8+Ss0uzPoDy2xMey3JY2CSN3cm0uWM0yvenjVmK1eeNJjO+JL8/0B4p0DQwG4o+CBwpP33D2Giu3hwRumJzjzGyO9pfYYKj/4murG9x/nPqLZ99g31wxxt142lf/aYnQEcZfjFz+lDgSdlJhbjwGbbFP1wpP1995svwusfF7EEJeB1mkhvjc3X8xf9IHPj1byl3aXbkzyI6RDYSuGB5EsW2VAAAgAElEQVTu+iLxRIIel+QbAiKGMPGFR2NimyOV8BBu5HTjkxiTPxjEdExsaR5J4wv4ZkaFbXyA0FHa2oxFx+7eClZ9UkIZcEF5442BEUlPrGuFZvOJ2KN+Gv3YdAKPH7yDk5q+6ivSaU7+08jgOHdELaLo+csMM4y/+g3kh0bu0riPTgrjRCJB12nlnVOqkZJnIogFeYEAUmEPUHQz+ZncH7KXO9tkZG3b+D1InHT6dO1oewQfJ8uIucHfKEzZljUuqweMjOuYQgRsEXAhjTSQr1W9RDXBxqEf1XhUbcXaGD0npH1oxNdQc8A3CHhGiQX9v+o+P7Vmk5te2hEVJlF855cpH+UKTrlezV92+TE3D0j75cYCO8ss7cNWa4gvx654+AM1+VUV0qR46AuP36unGI5FRpdJdOi1wWpyWq6sXjWB3fir/8pXpw/QYMhyx03p8/3/52knCf8rszeIzxK+EzwJ0T0U/E23k9B9wu4cqPCx4F1bvihfhBjIcpxtADgtKjz1ayMErYAoFYYKf7X/u9PCizZrcNHpquZQ+AWXFqiD2E60BcjygHakqDWsriPhBc5/tXbW9goZze2pH+uOFMKNIuA5FZsX3UQFLn8+rLsnu22h2fj/oOAvqf/d1pCDZ8K/uUYgy1R4ay58p7Xq08oj5AksPnAMRPmlIsq5RsCD+l1MfuZJjj5ginpja+ziUePBC/yKT5R5yFzgLxWFVFgCA5M7RsCVNL4IVbeZVZvEv2y07wZT+3XefTztGOYNGr3xqLXiu36u2HPox8pYh9AjtoUGo7B17pCXX86ICkN0BiPmAi/j3fZydMxQvw1ZQiXzjCn+gjOKu7fAH1ZbqD8VJilKc/czNSR1CKq3Gf6+OnDnWfIhg/q3Y4+f0NONG7+2SsbBlsZRJ3FCs25KbG4Tm4ovqp0NY8Qeo/D1qyQkPToMIovfZmmGfIGGETEPN7m9utfwSUH0PpKWJ765ury2nXg5eKWu+sixypN17XefGrPb8v1AQVHZkU8D9c1E5mPSjXLNPL29MTN2uzlQ/3PKFR2/I+XfzbH68tP1vZaxA/xnJ6kefWxqPulWLVinkBVOyuowQ04RyCIVnuo6TeK72HzKAr96J685hY9W7mLys6fCkn0V84VkwMj3vPKg3/nSBBf4J4ztM1BsnLxBX3DTywkWvLSqXNd8lVWCNzS30pBa+dJ5bEeeIeBGGvOsK9icNBHYjNwKHDlWnaZ1R5qFYrZdj0D82Y1/Vh75yuy/Zdf3ay92IItU2NiYIOFqWLxQRun89gdFdynCLia/7dlxyUiLbjP5dLFZyXwhEdOI4L2fwYCMmJSpXvR3KWreNdsF/tQHk3XBFgxTY0ebhZx8EMS7PmBJewUBN9K4VzDAfiACiAAisJsQyC4VPvTP9kFh2fNuc5DEo2e0Q1J87ia8bNvqavKj53l9OjlmIacT4nAxsRu7COZ0BjMuTLL/ZdvGvXzRDf5kk47uMMIh6MAA/WocSVY9/pis3/Yyqti3nSHgRhp3ViPehQggAogAIuAGgSxS4dgMP4YpGki9x1M2bD5tKjLtvoSryY+dXym5HElQF/Sar+RyZDNyq1qYl0hWaLK9RFl1WiZouw/PTFvsCn9RGbcVjm+uzk5OL7+b678zMrsFJ5moS3ySE6mwwAsT9gh4I432ZeNVRAARQAQQAe8RyCIVtmksjYeOVFiGBnxtajQgEE9faQOPmBSoo9X1kqHqxSCEX2LK9bMdzgdX5Ur2dtod+djeWJmfejxy9+pZ5qaDYBvsH28DF+5kE+NI+zQHkFBh+jW+OLesHlXmefDvvkbAnTTua+iw84gAIoAI5ASB90qFqe9xaiNR8aNxsDQnPfewUjeTHw+JFAwnEhBuR9d8gXuLTy5T7zBOrnMKiaPKZD6VPOxe3hflBv/B7xRD4SNfdd4dejK7AgYSa08ufwK/Fp6+PDQPvHfsol+nPoOIF8zk7l3zHjdsYDYQcCON2WgPlokIIAKIACKQHIH3SIU3x+qFUzB/4N5i8obtpl/dTH6M/kLIUE6FCS1e7m2s7p0bvKQQNcnSem62N5QbP5r5NzJu8F9+3H2jd4TEK3oRqqAW26yDm5H2s2S98U37RSDEBZ92T9FQT2AvQWyIP+2ezT80sEW5RcCNNOa25Vg7IoAIIAL7E4H3RYVp8Bu2ra/vJZVwIpFwM/kxPxtFZwPNreC3i7ru6g6vqAIZ34wtGj4X1d/2+zc3+BvYcVthcmXt2e0L5IhnwRfgB+cdiZt6EswkyHj5G++tPLtyTNcwprwBH6YYAt5II8KJCCACiAAi8L4QeB9UePn31lJpo7+iy3Kc7n31Nkv1uJj8tvvrbPW+4Gwuvjn7F8FquTdA9MGgOU4kErM/Bk7Wtd8eeLacdnCmLHU8T4p1gX8iIWINXCCxai8+Tizfr4OQTsWlbWNWx/gkPCxf0QWG9lqwmDwZ0F3dDFfSuKt7jo1HBBABRGB3IpBtKrw5fpUwDPbxn774+54KrkEH3cXkZx9ig5yi+6kNCFng3koiEe08QjCkzpg5e/YHw0iFYQBc4M+cQhD59JeU1vWTaE/vpju+Olv9fV//JLUPNj3Z27M/B08eO1116wkGEDJBg19d7hEhgIgAIoAIIALvH4GsUmHZ85eufdIWXnv/HXwfNbqjYkoLhbnw4OZIAFTpJ3tXE+9G6mE5Efh1O5F4xk7UGR6+lBL24RcP8efoEU8R9Hgcv4J/EYG0EMiCNKZVL2ZCBBABRAAR2BkCWaTCG782Cn3woW8G9/Bu/s4nPxLNfG58aGRwIHSlubX+6mD4DjmqpfmC4cT24DegTf+ibzkxf/tzSDePJV50lwItFhHpdjbwe+muneNPUHBSzPOtDEBbSDJNkHgo+A8RsEPAnTTalYjXEAFEABFABLKJQPao8PSNck4mTnaTfee9+2/nkx8PL8eY1smQRIUT3PccsYsINwOYn3aP3we7YWYssXcxzaRnO8ef1KLGvh4icbD726o1n37yhhQTG64PDo0M3iA/IRXOZHz2V1530ri/sMLeIgKIACKQDwhkjQoz81YgcIUlR45Vmj9tT/Kh/560wcXkBxvxXO9YcL7v3tUSQovpCbmtwQD8VHFnnpzl+jRQf2uwgx6zK++c8qTpe6IQF/jb9n8TzjKClbbl92WyFKm8EbX8gBcQAUDAa2lEWBEBRAARQASyi0DWqDALnMYVw5ztGRvNGHiZjOz8+MBIODq/vMZ8ETDfaidDMfLrdn9d8ZGvWm9P8rOG78bqwYBYin+WXfnYFaV7Sz5mwUblwKUx21hyYMxNzy/uCmywke8bAW+l8X23HutDBBABRGD/IYBU2IMxdzn5LUfJRvz4zGos2hegQeY+D0XgItmRlz/t1DqiuPo/cH18r7ml29lguMTfqHRrbrAZHJ4cDTqFL4G1SmP/lnETphABGQHPpFEuFNOIACKACCACWUMga1Q4ay3Ow4JdTn5T7ZWGshzU5weuPmPqYas2Xb7ClMd5CMl7bZJL/BPvtpejI7cvnQXvdfqhC6EIC2ayHfmp9eKtPrEa6b9Vd8ina2id8l6Hd5dV5lYad1l3sbmIACKACOx6BJAKezCELie/uORqg3Diwuq7LxNIhdMfGBf4z939qqSAry4KyhtvT67KdhHWVYpWWN0Rxcga6Q/OvsvpQhr3HVbYYUQAEUAE8gEBpMIejILbyW9xWugdBx9PLwMXi2+uLq+k+nALYw/6sJuLcIN//HFb6SeBi3dGphbtCO7W5vLK6uwkNVN5MruyGd/TvlB2sxTkS9vdSGO+9AHbgQggAojAfkIAqbAHo42TnwcguigC8XcBHt7qMQIojR4DisUhAogAIpBlBJAKewAwTn4egOiiCMTfBXh4q8cIoDR6DCgWhwggAohAlhFAKuwBwDj5eQCiiyIQfxfg4a0eI4DS6DGgWBwigAggAllGAKmwBwDj5OcBiC6KQPxdgIe3eowASqPHgGJxiAAigAhkGQGkwh4AjJOfByC6KALxdwEe3uoxAiiNHgOKxSECiAAikGUEkAp7ADBOfh6A6KIIxN8FeHirxwigNHoMKBaHCCACiECWEUAq7AHAOPl5AKKLIhB/F+DhrR4jgNLoMaBYHCKACCACWUYAqbAHAOPk5wGILopA/F2Ah7d6jABKo8eAYnGIACKACGQZAaTCHgCMk58HILooAvF3AR7e6jECKI0eA4rFIQKIACKQZQSQCnsAME5+HoDoogjE3wV4eKvHCKA0egwoFocIIAKIQJYRQCrsAcA4+XkAoosiEH8X4OGtHiOA0ugxoFgcIoAIIAJZRgCpsAcA4+TnAYguikD8XYCHt3qMAEqjx4BicYgAIoAIZBkBpMIeAIyTnwcguigC8XcBHt7qMQIojR4DisUhAogAIpBlBJAKewAwTn4egOiiCMTfBXh4q8cIoDR6DCgWhwggAohAlhFAKuwBwDj5eQCiiyIQfxfg4a0eI4DS6DGgWBwigAggAllGAKmwBwDj5OcBiC6KQPxdgIe3eowASqPHgGJxiAAigAhkGQGkwh4AjJOfByC6KALxdwEe3uoxAiiNHgOKxSECiAAikGUEklLh6RfzSyt5+PnfC8t59fmvv/47D1HKqEn/Z3ElryDNqDF7AP+MBivbmTMCHzObEEBpzLZ8Yvl5goBJ8vErIrB7Efivv/77/26uyJ//Ib5MzcT+z+Ir/KREYGrmZco8mCF7CCD+2cMWS84UAZTGTBHD/IgAIoAI5BaBqedzgvrShEGF/+dfL97E3+InJQIIVEqIspoB8c8qvFh4RgigNGYEF2ZGBBABRCDnCCQ1kEAqnN5KACe/3Mox4p9b/LF2GQGURhkNTCMCiAAikP8IIBX2QO2Nk19uBR3xzy3+WLuMAEqjjAamEQFEABHIfwSQCiMV9gCB3Ao6ko/c4o+1ywigNMpoYBoRQAQQgfxHAKmwB0QQJ7/cCjrin1v8sXYZAZRGGQ1MIwKIACKQ/wggFUYq7AECuRV0JB+5xR9rlxFAaZTRwDQigAggAvmPAFJhD4ggTn65FXTEP7f4Y+0yAiiNMhqYRgQQAUQg/xFAKoxU2AMEcivoSD5yiz/WLiOA0iijgWlEABFABPIfAaTCHhBBnPxyK+iIf27xx9plBFAaZTQwjQggAohA/iOAVBipsAcI5FbQkXzkFn+sXUYApVFGA9OIACKACOQ/AkiFPSCCOPnlVtAR/9zij7XLCKA0ymhgGhFABBCB/EcAqTBSYQ8QyK2gI/nILf5Yu4wASqOMBqYRAUQAEch/BJAKe0AEcfLLraAj/rnFH2uXEUBplNHANCKACCAC+Y8AUmGkwh4gkFtBR/KRW/yxdhkBlEYZDUwjAogAIpD/CCAV9oAI4uSXW0FH/HOLP9YuI4DSKKOBaUQAEUAE8h8BpMJIhT1AILeCjuQjt/hj7TICKI0yGphGBBABRCD/EUAq7AERxMkvt4KePfzXZ0bD0x5IiEt81ucXlrZSNuP10uJrlxXh7e4RyIY0xqaiz3M0uOsrC7H5V+sm8dt6vTS/sLTmLJOpMqwvLsRy1KOdD/HKQixJl+MWNFKBkFZLNl6vW0sWV7Zer29Y6pV+JcNkyUDAX5HeFWuvyBCLu9JKLEQeDg+MztC71jek0tK63bnNdrcvTY0OPByNLGZ2VxJ419dsGmx7EQp5vSTDJbdw7ZUV3iT15stPsejAw+HwtA0IGbdw41XMTsaUctLJI6OaizRSYQ+ermxMfook5UIydlEDsoX/047DPl37uCNi4gHKcBBOEEvxsUwzw02aT68ddpC92INzH19oGV6gQ7DU31Dg00+E2FfHcfnjmt+n1zxU324wGTs1LxmVUfro0E7MY4dAFqQx0lSka0XXwsnk0GGMCMsxyefLyMjwwEP26eu62RBsabg1GrPry5v426FGXfNVdc6o5c/0lPv08q6XjtKYIsPLzr/r2t97njtUalcscC/ebNF+kfBmXk/ankj7cc1XXNP/yq55Kj60nBQg2N1iasDKRFOFfrD+l5jD0Ef+fVwrPNU04tAkaIDlPQPgN46KXjzvqtJ8TUOmqlN8Ha318RGc7ikvLDsXYrRYFAuJ19FRQ9jEYNknOLFWS3j7Zit6/eOdyn/cRtKehy4U+Ks6TTqO2IMzhWXnuqM2S4IImQgKGketP8HTUdbyZxpDmQLP7JXwKtx6wTw6MAEle355a5f+7KlpfGB+OcSi4Sm+PE4+l9Fy1Dywuja9lCxfndYevGFmIXF9PetUeOnpcGfwwkelx/2FuuYr9pceP/yPhpau4WhGy2vX/fQcOLnALEx+2Xsw9mDJ2cOfzDTJp/w4TAk+XUv2sUwz6qtBlqU38Vd9tbrmK6kd5qR2a4IwoQ+uTThMh3D7Quicrn3QMhTj7xSqcoO50Klt5d3OVCa/nzgVsfwSae+lERY5h9uj6fYaZm6nQbe/7m9xYkIeUuGJzoba9uHnRElpQ1BS9S7Fg2YifOvTo3TeOVx6/HDpqTPB3gm3OkUgZP6GgfRnLgsVDl89Du1x/v/qhILD1quBxjLNpxdU9UStj/90V7lP1/yWhYp4eGUqbKyKI9crda3+F7FGmvj3Kc3X0CeWTGmxEIkKb8x0VhVrPv1gcNiyeQUDnezdKL05HZZGS/0NWjq6ANFrJWEnabEHZ/y69kHT0Ip4dbwa+LZE85XVDtssKiZaSzRfSdMfIjNPbI3W+nWttCOi1Mh/hYtZkEOlfEVa4m+jD242BK91R/jcEX/7ZouNTvm/I0u8nbHeC2ReS+P9P9FKxK+8a0auCKZFLnXJ5jLeVDUPvFKkcbcVD2mpJledvXQ2qfDGTHeA4Gj34TjysXmzthCZtF1WcjRFzvxLeD/55V8fsyeC7kt2i/9c7zkyX9p9SkrY+s3215re53FZWdVT84GuFTX8YNZdRWPzoz8EW34Y4Zpd9dUgI0Df+1rtL+K19Sb+lr65Dv/bkQytDzf5TQ8anVfY/Gee/GKTHR8lUUuj+LlAwJU0Pn1AdLTq51wFUSKU15qvm7I1BFtCT+FtubUwYZbAYbK/HCKUouaBulhSe7o+PWHS2LVU6ZrveG2PqtvraTrs0w9/22vKbKhmLSzwTXzmh0qi25sgNdoRFNES6/qNzIvO2y+9pF8NI9JMMdLCJp2issPkEYY5yKoIFDXaJCzqzFALUQ1+2dFngy2AY1VqWkAAEnD8jDq+fBwvkD0oGwbwagjYsPZZV1Q2ddia+eHvuhN7Y68UmQpbUTW9McRXmzZI2DKsJCpM+NZCX32Z5is+08tfcSxb0oE2YHfOtjba8IEthXC+qFBq+5KXhpsO+vQC/ppd+o28Pw8GbfS+b6gm4mMbvrv+kAhesjWqB3JoRd75yuS1gz79YOOoPHcQSeBs+GCQ/QT7AM7bksa4kHupmDVNinoBUrEAcJ7LjHlNzbO+svC8v8nvK67pfSnWYyIRvnpK8+kWQRK1ZyuRPSpMlVtO8mpQ4djIzTMV8LZSJDhbHTaGRx5vd2lXk5+7qrPRnV1Xplv86SRRWGLPhm1JML1IqLAkqFCOv1nV69AM8JOxIaW+GgzAp3vK/bpW1DRgqCug/K2Zzs+cpz06W5zriVK9znDLQZ9e3imv40cb/LoWNLZE30wSawqTIs1ohtwpTGeIgCtpBMGw0x04vUiV6ykG1EnqpA7SOXLHDTAknAr8rdGhUS6Hsd4TPt3fGgExsycoTALh3sNfUuqvEMTYSFdDsGtoXnro4m+hzcaEQgoZbjkY6AnPc93YxssQIWq6VtVr3uqV+q7KP7RQsMN0Etb5y/TUM2sTyx4RawOQS1saCkRT1uq9ib+NdlZZ1XVqF96+gQYwqchEK0yMiYWS2D4x2vSBrlV2TIhfifnpBL1LMp8FGOVsIr+SgLW6FcA4XQaUnfgWhOFLskfn/6yBLx4cFoeKtY+TpL0K99ENirdvVoZri3TtM7Pe/XnoazIj0KWUPDuw1/7rgXry9BUUW3UoX3fPgYh6IIeKqJvHV5berQgZEafNQzqDlLRQRXgGVDj+9g3dfBBKdBAq7eMLbBRgUPjTKkbkgaIpt3nz0G1MWTFPerr0ZweZAT/LyHQqbYhkuCzprFFhamdJ3yAVLQOGgfbrpanR64GvhfGZ8fK1eRK86WQyAbIgsoPMriY/LxqwgzbvpVvc4k+fbdtJKJPRAVNCu320OJuTDKJg82p4+2ZltJboP+w36d5Qlmyj2YLZQmySUrs602v9z5uHTets0oASaaG/Ox60XSG0bqVREbmXZAnkvxCKpTlAC0O3xGxkSdhPWlK23ugbi21xH5nvT12fVLkR7Cp89O+IiTAR63N6Bos+U35j+z4WOk+2ua/+Aork3tpSXStt6lY1rEypLBM4aoDEn81o5yliuEx5BgfK5uLKK7NibO2XGjIZXQipNNpZotLkcBQWhckxCiVYVFEZW2NfnQCtcHpUePSmsjIvKTuorMlLCkh3wOBQun4uBCZPazNhCiwo70+0UY3+BDdKhK5xSN+wtYTcKsiQDvt3yCMtyTIpykIAmLJWqDnhtWm8RbkA2A3iRAuDpcxPhLCEotcymsLMhi4CafspM1GZLpRG20klXAwuHwUwBOULMw/kMM0Hny4I9WSG7FuvlriGZShItnquR9ItnFhEVLQMwVsIpjllBW63cgZxohCZhYRLGp3vKq6FeauWRq595Nc16YrdyKbb5kzvzRoVBqllgvVbstanRYXhBKJy6DXJYwBvc2lhmqz2TPGyze/p5Jf11tp2YVdfdIs/fWJhbrBuEJu2gPlXMa+I8QJTwoNNfcJal6o9JJtd4yVupcIbMz8Qva/ZKkseF7qpp/mrrv9pGLQ97ybKoYK/M01J7T+I9uvwOeA3VDtC9QHExnEh8scMcJeZUG2JlVLIdWF6xwi4lUbpzZbSMMbSyEyYh3mKst2dz/zYHLFUPn69H87V/buH6NvINjQ8HdYa1SvsAXGmwrZU0vaiBRnKgcw02pJNPM6ApIWcOeRXMoPqGh7A+iq/rMXsjSZtqqoVNlFhzrQOFjlpIoluklFhewpS1TkTDdnbZhjLITDishiHqCsWYzHjO99i89NwxFi5ATI70gqvT3URBaFQRhJlPzltbDXL4e9kwvh51aKnsKtQVFUDHQ89le3Zhgce2i/JaCF2qlNjoMPNJbZsEoaYU2HpWeaSk6kcCoFMmrC34nBcGJ/5mBxHKa83xt2kaGemVqL9W6+ZD5m1UfJEy7sr1rlM3CWWZG2wDGZLsqixMzPdc6JQ1wrPX/8jOhAkdhEFVR0TnBlzxJJ2XNTlOvE+qPDhtoj16CVZjMIGBH22CWnmSzf2PEPfliZ7aj4mJvnsU1RVGzKsv9/ExeIP3gKx4abPuGUYeQddGzCeySwC6uHk956Hf29U5xZ/iQobCzMhcvYJy8sOzjYZgiruklQIjlR4JXIdeLCNmZf6hEd7vz5ISpbOay8OtwSqiBUj2acDpQUoKshj9fee6OJoE1ianutbYMaavGEp69obsvH+e+FWGsWIz4C1jO/4mUuOMxabwJQdYfOLbmmy51yJrn3wdfctsBW+BdNPSVNohtsPiBrtEpHeFqtNwhuT7bt0I9D3hr4IczEByuDj1zuJQY5kVWlQCpsBcqTCr8mJUvMJP7jITJDNfTcKB/MMbqnsnM3oSNIWGtloUfaZ1+G8l/HUMwMJ6YCaYiQAemtJWWs0XqrOjp85dgdomWwHBTzMoshk6mewBJBba9sAfhE2uFP7nbBHhhciWm7JZrsJJunXbN608GaTFNJQOH23Oy5pLPWmgJrnp8Wes7hWcPK4IorNWA4FRMkSDlbL0Fr+wndCzPa6YnkvGs82EFQ/RUmosLjROc/6XM8Z0cJzPXCmNllPLZLjWeasUWE65LyTiuUWB8iJdoinMdp9HraBOA8WpYkdE+n8fnnzzXPESYX6kdeUvF7P0fRs8staCz3vcl4V6BZ/iQobG8TTowOTqlF/LDrQWkX3JT9qHlbdG9GJoarpgXy66OYJn67R1yVUIQSbqjfYWzv2S20JEdokLpNktGP9TQf9JH9B5bUBymagcCiNvPtoLeTh+ntHZ7CM8OZeaq9pKHuIKxwUtuwg4FYaaauYdbjuL7FaIspXYKPcYaZfnxm9DgeXD9b0TKwwpRqRk8XIdXrkP9AxZJiueTOpkOP2pR0RIfBbMxN/LoBV5fluQzHBKYXtEBjy/PaNYiBhe5ftRbUvWwvdX5JHJpOzOFBsanWmjYEEf1qBo6v+Zyg3NU9S8pzlJRUGH3zKkQBChY23kAl8MWSm6w5fqYZ7wOrXQskPMHIll2LywfXccFEyPKC3Lw7XfmAxFQNGZTXLka10TLvBjGM4PCDJj2/arTqosHV0XrJXCXPng9wGQIGCHC7MXA5VSTYVyL9mZvBAjYUcMJG02kKzbiyG16eHm2q7FO+izjSXPwjSm4c3mLhJeNhT+w9q56MfPHfhI0reCktO1N7sfDAamePO2sQtWU5kjQrHXw+RaVgmpsWHv7zJJm/oVXKt8PoIOf0DJZSdax+Nzi9ER26SHRNyUbiaotsNvBZ/2Rmwr6+pNBTJ9seYPIXVm8nP0yYZUrgPinWLP8wB6tntV321xZqv+KOro9Q9EFOt+fSDgY4hqzoNju76TY4nwacVc/tgmmbE6yPWS9z62PshcnwJrk/1Ej2fD7ynrcmHY8ibWqLCPc+3FqIzr2MjXddDsC1F6rXos/eBhLzPx8GtNJIT36+oC600BgtegKZZbet1dKSnlu6PFZ5qeviSLXuE1JERf/384TU6/RR8fKElNBHlLrScNBTqy5y/ctkrWggVcIVvh+mBLca6qHO3+mFp9UUphcPhGEcqDNzOrIqDi7W/SIWrD87GTHcNmYky3AaBFirzl6nLlq+mUeDKoPLOiVtcRgEAACAASURBVDA/Owg8431phfk+1Yn6pppuuhgm0uJ47AzMORyJsuUtAfRLjLuKuZEZYOT2CaZdeOlrQznsYimnkK0kGwQ4/RYypuvTtcqbP1y9yVynKdbwYORtWvDwyC/OVLjnefz18+mF9ane2qtmdw10hWDjmnCHcugErHwdfLOk1tDzW+DMtHKK2hgv2SBKJldkoO2tBxXjB1kTJBlCyG+eud5zhlOXkvLGHjaf0rcWJ8fkbWN+0nn7pdZ6+GLPHhWGF7qZDZPXx8FvH8hqcOPNq7xKFrqJEx/ykX1I0bMX5Dp7sUqjJZ8oYh5AoAR/05D1ofIUTQ8mP0/b46F87Iqi3OJvQ4Xfvtl4OdB8iuiASy7UnINFXcnXnZOGka6EDFMJi5Og9Cd2io76oHGiwvG3S31NZ9ojSw6mgTZ6FHp+mTSviXmJh8LhDC+ZUehUV/NZCQ9hAM2jDxdS4ew/aG6lkZ2a1zWyRkpJNVQqvBjpbDwPB3d0rfAUsSWTX30QYoobU8K8srEQDjURFkI5X9HXodhbw9SV2ZUq1pYSfWFmG0TSRDtB4UT8lcoCHxtuqqy6Th29Mfx3RoWhs1U3ZdvQgYew98IuWiz4IUSF5tM/ap0wH6RLIQnQQhNJUuwZ5HOEyrE56fEnwBYUEYeMJ4CMOvIk0hjoHT2xQCL82X/AB7DkEc+ajS9piDHr36s+8unln1Xxw7hQRVoGEobloc0rqJR4SICJO+XRKzBXTWrAA3Cllw0YlSOVZ9bAEmEiZ/dL/CQ8TRnZSYPzWAbfcFrncB6SlAqTxSRV9pl87g58q9vEK9m5HErdcZRY9SXgmI0VRZ3l1/SDfZT8foAbJa0wyw84kBdRaugUSCXVOKfC6yszkenI9b+XnKjt6P5jhtkfy++KODl3G/3jl86rTZ2G+7Z0QHCbJ5tUGJBdmuxl+gkZJumEu4EvF0HybMw/4BYkp1r+kF4KD4i5G/kwt3YgBPSKurVE7bQgc8rpxAMQ6esP/88JAm7JBzyKqlaYicTSZAex6/fpxKmn5a1BO0s9AR9sjSwNX6tpF4bsaoQk09POXw0GXDIVLoY9DZsZy7KNSN96ULitrTDRssCjxM7VER8C8mkJ1eVNqneo0VrM6YyAK2kU+uDPegaItyx5sGwthoGnGm9Ospvh/6ypc2Rmfetld41sSmGfbhklk3os8uB67fkTnbaOq1NMtIp2cOt1LDJK2LZJ4M1w7YgKzxH7Y/b+t0/8/+29/0tc1/Y3/vwv85swMAGZBPEmLTYWK2lsmqS9ueYSklKJXEykNYaIRGzIFyFNhYhvMBi8mTdIvaQoSatYtD75IiFlnidhfCoxTyTzQWJijCjRZyKB+bDW/r7POTOj54zfsoo0Z86X/eW11977tddeey1rqOfursrbV+GxPmMJs1Zn5nZVJLqztg5j8sXRMTDYKfVB6D6NIhjpIM44iyEdyVxT76dsHsQCVLW2lYOBBHMyc7RzErLw1KoaTaZTYRx2DG8VQIXZDGvb5vIaeR7Yci6lXO54UWccNkMuA6OSbZRnNnq/HagvCVVebMC4hqPoSDj0VdvwA91zttuxOeEfmjETTw8SsHuD/svCZXVD0uwexcZuYj9ymAM5wYYLZdgYMcQscalUuFIZ79pXVFZnRhXJQIWN8d+YwjJ1lrmZ5/GrcGwO1/bSnaJWL0PwtPtGsfN+P+9UmME3N86t1uRAJgPJulNhpsN3H+/YKMAGFEWF7R7Oug2m4GUDbjStD9x9TX4+8g2q/Js9Hb/4s6GkfsQ9FhQjprpfSWnldmGU+6QET8Czfd/jPixGSWUxL9Q5Iau3G+OIo5PjUze7RnQPrHiP+BATd7MVhg1o3EgRTpewLpr56ZVhEr+gEfAhjTKYArg4VQNjpmEQB0OnSEClMtCRhn0sbEGk7FL2mLHZqLArvbMEXl/pQfdBdmWbkApvrEqeDV1p5mEK4TKp8OIgBAeWsQBW1tCZZndHSeyXMUbX0c67Ijw1Wn5vrx3sdMWKF0xR4WRc32jWrzuObMcW//sVz0gfcQhyAVtSkbo+PLwII8NioqdnYg4Vz55aVU8DCVd6t8x8k9vTLq8L+8Sbr2cWaXd55ianHjmKwVC2MkpR1a2EDPH98reG7bajLrvh9JZlHdD0mOsw5LB87rLYMRYV9iWHjnrJCsoLrKmrKkevDr9mZjPM9mBmpA4M7cpqflO7nUFS4ZEryikCHG6puxQbiU+BwZ6x/rEcrfDNqLVW06wRFWbNALIo+4AwBFEjvt4BNCIr2bN5kTsVzrqJk4O0SbFzu/Ax+fnN2kXW3Uq4tV/zi/94x+5wdHf7RCYqbKkiGD9uHBluKgbLdT6UzA6fYx5hLtZAICjtnJDFDDJSYeYfzW39hpOl0/24og4wsrOpAroVdChUTkvfN5CvSRc+PGnJd1/wI40wQooQuy7czqWxsvBUZ2Vhm66iOBQpKW8SIQZcktXHpSxZ4Nzp0HRaAp9/Ksy9C09oJWcUQZ9WstRU+5ZxmtUZSKBtNJwc0EGYmX25yAwxVxptTiuV9Naf2dU0qoThkIwaGVgi0JSKCiMFUVRvpVSYnb76ftApY9adl8kXfCuc459FoqzP1U+08Bm4O9j8zUUtZrKGj2pfjPBVdHF40SS79s6e+VR9DmkyZmKqvV3eT3SAO0sRFQJfsJyc+JJD19qZN1n6OTTEUooHPqu6JdTYtjN7dGQeruvRoou7DkQ4SUlmZcHyvOfcldijWYjNUXy06kJX39UTIe34JgPWpHPOVZNjSDFbR0lFQPfzRoVtmWONx+y7DU2GwkUfs5CdIFgHfho3G96oOXYqpNe6SbGUY0whd7fqGTLK9MjP5Bd4i36ACfrFH4mpZ0B29rQDfddz2WMbXmUQouLBxd3Kn8nyUmp29EccGcPR7TywFkqOPikKB5nmIKsEDLmFq9CitJuGQNDcmLi7rfDk7arPStTAR1TYGD0U5gH2Gr/SKEZO1xnIUc4VsYoXeBqveGdN1+h07nXPnAXOgk5fZpbA27Bbc6dZGPxW9A4PmbcTZCzTmMKXWHw1cQrKAZ2ZqZ0gllAqbnK5EPMXamQxKooDBOzaYotGbi7xCzxN7+zdqmCMx5Q0xDrAUEToklzqBXuquOI1kARLmJdTLyAMCktTvsZ+IlzqqcqXQeGkJrjVnl3pjucajQV8ZokSxYOA8yfKa7pG3ywbzvuYnzVbvzs72nFiuzS8fDNYFWFKAU3SVLw9aXLpdmwOzK/BwQ5jJkIOWam01CQ+cDCp7EgHs8t3fQFjhq9SDhUaLg3NGw53P4T4eb6WgtkKdJGftRkuIJhzX37UyqWt3QYifE2dwrJqjT/1Fsc51ERSq5ejm2SqgoQ96Iu8UeHBi7udWgcmxGxYET1ZUWFYwwmAFkdquLMI49gcx0i+pjlTM3xxcyMe5Nxu0cODxdrv5Bd0owZbu42fmk/8mRbWs6M6qTB2XTUVKWlE6WVCbgVPtnp7hqGBOUt3H9c8aAEm7mkrDDZtolsRFc5/X/MpjbK74cC4QlthdPdrbD7y3UZmZ4zbu5mO89sxjbEwmYkL8iGnuFoCb8NuzZ1CPtlrrH/p7LN+RE0T+n1xXTPIqLCTrpkp28XI8BRL6IiHZ57Yk6YLaHIqQUjebOjElbMDBHcNOi+VR+8WZebaR5w30QAjaoVilpKzlEq0t46ASw0sABvZXIwu4Oz/3pouWQtxIYxlRYIIhbXpj6UyzMRZOWUsBlHsJdyRl/aQSqJs8xhu76sZ++LRecYKTCR5sCEI3aJakOEjFRDDrW2jMO5pkuaUKyE/Dg0lCBITOXNe0FLTslYDrJ6d/kJ+r3Gx4VyOWpkKXwIuEenGb7bzjU2XtkYc9L1Eru6RUBsgQ6ZoyKcv6jLMd0JKc7V7sSoV3M/8UWEIDAORIf8uIobXVEIIRCF80hSSERF2f3djd9+t7tgQWDux3s4S2V3f1RdHJ69joz0dDeVFzcJZCQ4fIs3Qnob2m4N9N7tqIKwA/5MZiY6tOk9Qd4Ka/IIqz4eWjk/8+YBuRnNVGNpUGE9jhD0CLNv7TULYrJAE3kMDDzDW6naAiQ3l+hDDBgLYQmFDFQxkuoHEANu8E31Bdgp1gakx463mW7rmW5Q8uLFGQbql0/QpjRKlzORPtWAYYqlwL1ST3UdsXaM6UeRhoau/IKx1jQbKRIXnMKa3y5Edk7vISokLD0rB8sVvxcY9ngusH7HtCw2K3xx75EaFF2fjQ4MDY8oOUuSei2xnLKGBj8m39EcOEFZNhbltoYqvPgERucMZ2DDWEQvAyBxmraZFQ36s8UGKE6+LCz1aeoNuX3EcM2juYEMoUqKRLa7JrhkUO/KQJkqUx5JMxTlDb3QRtrdmIwlW9QWVHXHUcPc17j3UePtJinnysbwRa+0og5+pCHlux+bgKTgCWwEVVo3u1ll8yWEusso8WOts1fmVOIcgVJAefQFZrGngYVDh6Xg7uioPSQU81h39ZlQ23wWSluiui4Sjxi6rmu/cDjC42wo31zWuqblwvqmwe9/bXnVTncdHKdd7Jl8fCCfz+iNxLVf/igpHPrLcGGPWZoN5NL9TblZ2J6jJL0/F2/LJ+sMfl9QZtvlsKry89GaiLzaiokfKcTDnoHFGiA35eWp5icdYquuTm5jGU7Bpdq6e8Sg3M6iAcV+nwvFx/bj0YJ9TD4SHbHCaLAF7Dz07ul4VAv6kUTWBMQN5lsRt6vV8WaMFnu+oAghhMLJIdp/Qjl0yD/n6CXrxuc1dxH2eb8aSaAROdzEmymMlxX5igqZiTChZXG2NXBPRb2YsoY2ex8sOEFZFhXHrHw7gH2i4q9F6vuqOQvwUL3MXA0m9dstMsVpeCX7WqnpB9+T59yZxqQJOPjR0XKn7/vhuduSRrb3ZFtZHF1H/CikwzNU5B7YjD/GTT8SUoaMhUV75ojPKvdwHnwPJJaV+RqtLNoDPDEJYYLlggEp5NE0OchgUFfYnh97tojUZU6AYaxLt6VJqmW8pROp6Moc1Zif89LXQ/MRPsOja2/zn8pL0gs9C9mhZzA1dZIGfOEMraTaMuRUVxuawll6ePyXNywkEL0HK8X7eqHBypPmbvc5YcQXFRxt6JvR9DWin7hM6jmqyB+ephi4ZgC4s2dckiYiiwuUd8eEL6AiWI1vsCAmWL0CDmvxybDN6zULAF/64f8d1D1rfVlk4qbDra8JzZE5B436DPRNz6215KXm7Cs71W1oNJbRsaOb+ILUygANRTgJgoNGpsOGyntsoO5UHuMdt0ghVfS0jupkLAr6kUUN7Y1LhpT/bdmpBPSMlRxt+cyNSTu6iVS0LQWFGq/NK8rPD7mZWlOyBwzrgSMF1YWmUx5lXZgplve/xsgOElVLhuYnBBhYuqvDopT81HswKL8acUASiUOne+jli7lT47ZMejFgJeiK22a1iCbEP493NNd8c2FnKg4EJDRRql8CXzoFD33NbGiSsUelbFyso1h6MrH/UPJAcqfkIqHzdLeZKNgcq/GYESK087+tAUomEeXqPUfzd7SykSABU2Kg7oxY6U7SkiJ1rNDfu/MmhJWkeP9E2WsFllOptooNF7fWcWSSYT2LHob7SLxtX7hQXFEZDH9X1JJdf3u1uHxIhe4xclpfmZ4UzbEcoU0WF3cqfoXGtLPL5M29UmBcaDcalG3Dh/VtCry4y4GhYu1so61QYt3dFLBkrAKPKKA9oBjX55bWQWzhxH/izPTWhexCyMTeeSAihjV+FY3DGdo94TUL68s+uI+idypsHz8YHB/vuTsBgMTl6CTc3le5kERU/YD7EXfFDylMjP7V2S9vEnlZcLjrndUYC+OALrmSPxKAjwIF655ANQ5KDCqPj4TUIyijh2toXPqTRmCe8qPAcxF9gUUnfJm+hTx5z6tXhnUtOPBGSnBzD0Ib6cRaHJOvfiusciIszHTW9qXDfUpj7bnltTDtiZDhTxjsQ+Ir1JqjdRF8jeG5xLmjnprVTYh5JiWoa4HOy7qmvctvtdHY3BQJPHJmi27cyI9GU4H60huuSMul9F2cHpAIoArG7+uKauwYsgFpyz7+I32qr+gzclm+vlhuzbxOxE3CaqvBATccICzrIVt1g31i6d19Ncx0MRKOJqRcus+qbkTpcwB+JTcwxpSxX0MZxlBP0S4SXDxXuPfQ9Gr1kssMeefB7W3lRsTrvy+IMfFTXrhodjr4l7t6+hKEENTPI2Sfj+prBY5XChSHTUwZCJr/C8/FYx22QaixV4m53HVpmKl2eEDkfcmiJpedPNCh1mO3NP4+hi09XDUv86lEWnZedLqjhuksRyvdNvBmqA/6w5/gpr+Kd3zSDDaqwMBlgZqtTz+ND6qZ4Ovrkzds5XNA+6TwaCnvvOjq6iUeX9Kx7IO/nmwrnt/R8+wzHEaf8BQJQLokEMvklxxJJL0UIOpEBCbMPNGjw8jWAFbn77VzuGhF5uEp04FzqvhHeWTX+c4MNsHFhHr+AGuEqVukDMrouSnRW4u5H8T4VX0NrFw4m49zaLCh2FZODzTzcV+GB5iFtEGd7VXKOxLmqWd8hxZRxvNZGwLtXdku/rUaoWyySKxUGFbWWwmZr/Y0ggXoZVi2NeiLCB45j3SL2oJVwGh7+HYJnSXI4qnxd59rQPqkwsg1djDNdu9TXgoX91CIoiT5l7cnmWjsHYvxDLLaHPavjYKLD3SxLxDHHIxU+2iyYhCANjEZg2DygwhOdf8cgOxDq8sQlLyWcVsG5icFmFhETDKikQlQ7Npe8XVPBVbwFn9U501TqZ/BN0Z2cn01m0FtpWUNzMBcEolm3X4gvTd6uAoe12sIew4nHe64c2lOiia5oO/EtfyQP0Ksp6e3oBVjtuP4VCP+DbqKSiexm3p1gVFgtJKDWVmosXIVZqj2mfwYLq/z9RA96hvpjfrT5MyybZVojysDMKgxII2WwpOEvgCNOJU7T8faaA/pxL+NDZ9N82fWEKezZI6cSRxQjWzgerx4a8H2iwgEAGsDkx3R7kRLuO0ZKCbuQ85lT8SDeFOt4cy5BD5cgsnKnSbxvjhpvn9y6uLtQrOBh2DLV+VKxZFwIDb3LcQR9jejU9MjZMRhjIB/4zw40NsSSDhl4M9HXcYVNeM0dt4cn9DMfjpcXJ9qPHL/kHpNZvRzvVtHCLsU0TBYn2iv3HrrgdPIKTfAkPsLmy+ExN5VManlpJn7pwk1luCx9CLQ6E1xeAveu9tGo0XMlIeUWRxXYlBC6nysCPqTRyOJJ7ISzsaBRHt1UVKy1e+CRtnxy9u7kyCV1wuxK+62EEYrZ+b7LHQw8xsJ9uzw1yqxkxsEC1aPcE8nwJmoHOluxT13o6hlaRb08Ss4zxVh9udba42U8xch2aVj10XO5V1wbxPnCKLw53nXo7w2eO9EesMxNjLTHzPjSWAD0yTDbV3/gUCPqjD0+X0otz42PtNc3dOq+mb1fNhp0Ot5Zf3Rn6d7dNV2jYI06O1B/IIMJ8ty0dGfmduHBwnE/xPF+FidlFnm1Gj3TU3ZSUx3jAyhwi0MppBw7HjKYcI64Bfoat//W1kJw2rLiYp9zgmP5iq14nGVG4pP2FPNy4rlly6qIwZh5CkWu7oYSfBsKGjER44NPW1+GOdTRTQzRChSiDCkTFbb6xmp++p/81PrM9YDnaqkwWJHimkztNLkJlqDRUeWQDmeyLMs+6V4ny8smO4cCbBwqvJrmztCd6BEh4H80IAwJAUKAEFg5ArOjrcd3lh699EDT3SjNOk12mRAgKpwJnRxl0e/kt4ghwYCz8vAttuegb/ZyVmpv2Ck/oILOarwzefOQ8F6nHfp2852ku2Fm1gJZ2C3bEhI63SwvY5EEm0c7FqLCAUhdjsJJr60xAn5HA7fF6hpXgbIjBAgBQuCDQmCzU+EXcaGZHx7XVkJrO534nPxe9tYxpit9VgteaxohOc1xtCNQ4hNJhd8ONLp5lzMSkS8vzw01y5jY+7qeM/MdKJVNvpvrGvHQA6TjoMK1t8UZUtjG6qll5ScqTMT3A0LA52jwQU0/VFlCgBAgBDYCApudCm+IKdbX5Cc1siw+WfLmka8aGmqEGthgrk5mXNn+P7sgCKfjr6pRUFvwfaNrguE6wt0hKSq8lJrt+74EjouyAJJS0etinSy9djiosDj+zCRbHJcmKrwhpHQjDDcfQhl8jQZru4b/EJqD6kgIEAKEQFYEiAoHQFP8TH6JdvDVFQpH0R0Mi80DPw2HGMK6wDgfymZNyVkdbBiTdfN+n2KRmaK2X61kXJ0Pk8muiAqTVpiozAePgJ/RIOt4TS8QAoQAIUAIBI4AUeF1pcLxNm6WsL1y39/3Kpfmn5kOWTJQYe69oQujM4C1cU3XYM8FTq+3N47MPeqqqu8aMK1HdH2t7tmgrhFCmIKQrY4Ku9Nx0goHIGOB93xKME8IEBXOE7CULCFACBACeUKAqHAANGX1k9/iSI042aYZOey9FEfvPNKwoVi4mYyUbJc3S3kwBZAMyVzDB34agxolOioLMOi0dCKhq5l1KiyuuZUFd6MoE1yRVpio8AevE83TOLWJkl39aEDCQwgQAoQAIbAeCBAVXlcqjLYKGM+mTDqvLoegkdLHgosdsCTNkt2y6Jf8Po/2jsE1WDxGOP3WMPBmeWn+LfOeLegv6GvFtQ8qnItfYaHYJg8Sm4jVUVFXgQBR4VWARp8QAoQAIbCOCBAVXmcqzNtexsJAVe5SytQKa5pg/Qwcd97OwnPoGtnCo+1j4E9DUuSq7onhjhPbI9x0WNBfoMLMb7nw9hC1tcIVbaNGWI0XyanbVTwvcWyOr+EkfW/oc/oyJCq8HivddRxZPtisiQp/sE1PFScECIFNigBR4Q1AhWdGaiCMezQUqWwfX3F5krGjUk+MiWBSRc0DydtVzPriq64nLCpjOBpCK2SdCjPBFXccVFhn2PY1o8IvBq6yOGoYfRTe2XtIBbiCRz8NvZChjEkrvElHCip2jggQFc4RKHqNECAECIENggBR4RVTT2fL+Zr8Fifav+LGCYc6J1ig3eHxt3PjHoENhR/lvlsYvHdmsKaI0WiWSOVPv3WUg43E29FzzK8wD9shHA+DqwpBfOt63vDqizuroMJSGcxrYfByZM9Af0krTFrhDwMBX6PBhwGRcwilO4QAIUAIrCMCRIXXlwrP9n3vEgijZnBZMlcnsxR30DPDUDP+PNrQxLxGoM3D/DILRx4KR8GJxOLbl1MvksnbNduRrRYdP/Qlo63KwsGmwlMjP5ma3TqXnzfjMHMTFQ5AhNZxCKCsg0WAqHCweFJqhAAhQAjkGwGiwgHwGB+T39s+HpLNUKmugApPYoiN2sF4h6LCS/ODbo4pjCyQQLtT4Zd/tlW1JpjkxTsvdqLZMRfExdnRjisxVyuOBxcjzILiyM0kKrckmyetcL67MaW/cRDwMRoEMBZtHByoJIQAIUAIbBYEiAoHMP34mvzAcqA4Unrg0PfNzR23+26NxCdfvJxXWuGqmxDEWP8TR9xQK5yKNxTtvfRIvs9uvogdcRJf5x0XKlxedQJcHX8/uJSS0ZiLd18Yebm4vJQcqduDiXzUMDBj4xb/kUfI2/kjp9FEhTfLKEDlDBABX6MBGUgQAoQAIUAIrDkCRIVtSreKSdHX5Gc7WwBjhsTYc6HlFca7mmQIYwbOevt6RuZSFhVenvutefc3DXWNbZ23BvvuTgCTngafEsmehqrW7roKRotdqDC3vihti8vDfOHo9vqRl6nlJc2sOcQ9XQj0NC8W3AeFKlK0vPP50sgV5vsCvV5ImwpVgFXALj/xhb8GrEyQLgiBVSNA0rhq6OhDQoAQIATWBQGiwoLM+aBEq5/8Ft8m7g723exqbmyu+vvenTKURv2IVKlKZinlw6TCvPzifcaPM1ZKxvWINA+IWos0kSJHyo503v5JHOYL6Trgia5yEROE82NMQYaPDhVdHBbkXkb3cFSBqHDGBhKNIlucLjYRAqsfDajdCQFCgBAgBNYDAaLCAZCS1U9+b6SPXtN6QaPC4pCc+QJY5RqsNwMVfvloBNxNMCuLyUSs8QBPUxj1Li0mLn0m0v/oROejiZ5acZjP4d9NHsgLhaPlHRNLKXVELxSO7mzq4Oftag4UMNPhMFdsz00LM4+x7kOcT5NWOADx20Q08UMo6upHg/WYAD6EFqE6EgKEACGQGQGiwgFwER+TX+JSqeCgjDhCaOUDh7oSgtqaTwW5RC6bKxVOdh935dOHul8I4ZgdqEfuu+fi8PRsH7uGvMpqBmfFOxKotwONgiiHy2p++c8RoScOfdQ88GbiJ259IUoeORGbgm8NxTOvrFJLO3KR2WW/8IF/9sT9FIy+/QARCEQaIfANWjQZAM7PJqdm58Suy1IKjKleCn+IxpuBs+qZifgEWFgF9rf49uVMoAkGWLb8JSXifWaAce7NSmB5M5vUBGBuYiKpxCNDY70YvjWanM/wAj0iBD4sBIgKB9DePia/t30/1qFFL56W0wY1SYV3fsMCWKj/H+Ia3Fyp8JIMZacx6e1VNxP6oLk40d7UlZhfXlqcHTjH1cZM6esyakstcsmJzrG3Qk/MefNAoyDBkF3xvk7QHMMhvN46i5GDo7cgZh0f+AfQ+i74BFEpSnaTIhCINMK68cuuJ5YgwRFbvdeP1MDOzHPfQEE6ofoRz3SmBzEGUEnVLefC2K0HzTx/wo/VoimUrMjM88S0eB8dzsApAquOW/onjIER7uidu6GU4PCKoyqh5naOAyPGVyprGAH2PDfUHJHnOjLC+BKH4u3n4h8U+FRZQiADAnmlwm+f3O2+VHN0Z2lZJBINFZXtrDhe1zHyZMstRgOZ/KxGehI7wc6ZNY+IyUOMbsMX9uKjE52T6pF437jJ01xMdOpegVu7B+IvMg+1ie4Tu9lROZGpVbyltXWGfAAAIABJREFU8a4j39+UTZnoOHGkm1Pe5FBHXWt3H4QCGYlPaRqOie5DKoL00arWwdwUGKqOdhlE2YLEPzlyCbHqjGfP9+WjwfbG47tL90YKoyFQ5+/dV3OlfUTq2hMxHXbtGsLvicLrF8nBNgjONwKEA2DUPoHrC109dyc0paBRwngMF0utI8yTnZ6sfT3/fDjWBrbpJSWhcLSgeO/OiuM1rTcTnL7I8IFq9cVL0s19g9gJutXlg30nEGnUqTALjQ4nX2/WhcIHLj0QhkYYAn33j3HhXoYpjJHXaotea/3JyTQeYxVjS0YqnLxdBbEwy6p6pdC+TbQfL2deZZxNPz9SVxQN1dyGg7bM6Thne88hllBhXQ+yYVzqS1JoSPK6SM5Kuxsr5NxUItZat0+NAAcONXYNjGuDnokPNGukYYDrIMx1AnsTTeZ2t/OxlEMxPdKwx3WDDg3bPmtD/+7LSynmOMj1TQ3h5E20TztQ1zOIo7Tn/4fNiszFuxsam9vv5rYcMiu+Lm1KmRICuSOQTyo8gS5vnYMyxELTeubm7zOBTH65txm9aSEQIP7xVu4SLtI0auVi/Jweaa4odpAMVIcrNY8nKfHQ5DGL7aOdSegdclvAzqXw6KU/HbPRm0EeZDvMPzdKq7rY20TsxHZp0GL2TXG6UR5q1LX7eJ1Bcaiy2FJd2wPGTHUMRBp1KgzXZkt5/GQK4xdxDEjZXBkNlTaAAxn4664plT8xSiUomKV3Gk8q/PLPNjgm+9GJdl3kFmdHW4/CSYA9zX0oqxZKTOmIe0qK7SXA8blkaW97aqKhooujG0ZsVtbdwJ3Oi74mdRzCapHt1eaeG6smc7OjOpECRwGIyvK6IVPAZm5D73Yc25i7BftsVb3aaJC8eajkRPsD7Y6FsO4FKJtQOYYppNqR4zG3RldVsHKkn4TAZkAg/1QYtWU72bpZ9r3K7uy6q80AH+v/gUx+NJSsGoHg8Gem2yWRomgoUten2asYZRvv2leI7KTwQENP4omw6Zybfh6/1VVT3y32tRkV1tV4XJ/nbt95F2OU1A4yhT2fm2tvc53f2Ghf7MqhEsw3ou+Sw6zJjE8iRaDl3SnCoxhlht40K428t1e3DYyB+2p4Z342OTbaeeH4JT4BcyrsdGid/ACNO1c+CgUijToVXqFWmLMoPQVTO4svZKXCgu9ur+oadTgRn5t5Ee+pAwfkkbIapS3mWS+lIIjmvtb4S6kVnh9tKClWBlds5aZIofxw3S5W1N3ArWQlWwkX7266GZ+cZX12bnpioFUsNS13k6nlJezgVbekztiFCmMx6nocIw83QtOd+aTYynnvoTOO3RtzNyn2SKC6OBGrwmMekWhoz8VhR7OyEePl0MXdbswbnjJSLs9br7x3OAYlUTZKihBYVwTySYUnB9t7EhCagdVwfkL55wpXtmub+5u9ewQy+W12ENax/IHhz8joka72GmCc2rFCIcMwGYyg3WR0e1U3mFZn6r2MCtu01esTVP6VNNzlafK52aIL8/FmtBSPGHZ+Lzoro6FwSUNH286wp7IN1XLRUORAw5C30giqw6mwUBJnriM9tRHwI43JON+tNnS6cWGZAPxVFycQMIfqjpfHFxWeH6lhiz2I/lMiXcFYuk/5c/c5DMGDfUE5igGXNfFLFdFQRdvo1Ivk5PMnwrs5U2fKz7ULvXY2sF4dJ5D7K+luy9x3ZKTSZX8mtbw0zj1OymBDrITQIpGGgYnuI9xODO0GhapoZ+mJzknWka1NAO5mh/dfwbCZ6h3MDpXVGVpqQZMxCzr+f24GI3hwecfEHCvhnosD0nSbjWNi/RMqPNrusXPLgNII/Zo2UyBtTYkQAk4E8kmFnSzhN9iVw791G/KcEPi/42fy8587pRAU/khGo1W9b/lU7bZ3MXoO1SqftcXlGs8p5/zOSqgw05Mpsz9hIGFRYWk4ocwwlpeYJVJpW5wrihSfVrLBDQTN7VT3khMV9jW7+5FGJoFikBSUqH7ExZLV1PzVNd4UBqNBUOHU274ze3diCExuJt50ovyr5vabyNSHEkBq2d/k6KXKYi3gDhceuwpyPxDkFglfUd1P3HhjsO/WlX3haKjyCvh8dChEQYbBdYbYxHAXWmeTgXuN3Pcx3Kmwa3cTXcl9qYzF4zxVtyVgHfzLridTI9zdZGNdeVE0VFRZxZuyYyDevS8cLW+6zUx4YTkEKCXEDioaW390IjaxvDQzWFME4mEthFB+3DxUzsShmcLR8h/jaMO9/PIuqn4LDzTces5U2i8f3WTBRAsqrtgUWcecVcRtbFSjjf4+XRMCmwGBNaXCeNwVx3d1dMA5hG2+O34mPxo+/CMQDP5siGd2Eew6DBGtjeLx+25c06W3r4AKs66xLyb0f3IOdlDhJdza1t0LMPtmZhfBbZ2FlYUsPL+f0wRGVNhsdJeWzfRCANLI1jbaageJmq3tk+pAOLUZZgSIiZzg0JKAWhdfdj3JaiCh15oZmDpsVbl0Lc6+1LbalVY4meisQiuCirbhyeecOk+/nWN7L1rtlqZuHgpHQ43ShcXzzirQaDaPLM9NDDZ8BWY/7C/y1UVX62Qp53AxE++sr4SD2uyrosrmu7PsVDGGunRvOy8q7Oxu3Ddl6ZXRTIth7iVT0mU+9+m1ltYjAmrWSeVuDPBa4/3lJe6CQ/i+zJkKz8XbyiPF+zomjNPSyds1aHBV8NnxqiPMcKLsSEdcbeSKghnwcreYjrHR42XrW/pJCGxMBNaMCr9N3u06AieR4W+LuXEJYPKjccQHAoHgz2c4QSKZfs62ux1qBgHO9bhP7lQYzf5M62SvuZnfV+Z68QbQD4mZibEoMymwecDYgXJizjgYERV2Z0sZQVOf+JdGLooaDcJGd9P2Ya/RdIH8zFzfrS5w+wB6VuexucG+kYk5Lyo8KbfvtU12FgWzsESSb48LzX0NU0NGyraD4rNse2FZTQ/TPgq1sd6Jxjt2G6xOSGA7WBoUfHa8prG57vvjO5nNhmEvq2DnrSPsl0KFew9931zX2HDos+JQeG9VDTiItHSoeoPm3N2W+76HKcwyftCTYtej55DBfz8IP2Vceq1NbQNu8Y4oJIKgurmqKbMbjnxZudNRI00S1PusPE53xXMzE8Ndzbu3izVDuHj39x198ef8CIH3gMxOJohy2hk5oaA7hMDGRyDfVHi0GeyWdGuz4t1eXni8+94Gx9H/5LfBK7jBixcE/txKT6pk2BkXPY608urgNj+5QcSosPPYnB4lAScS1JNZPivc52Yx0yv9sa1j4xVRL0C3YiUpaXiQy7zFiYjz2FzWOdINhFxy3FLv+JZGYTBaWldTc3EAFa4oDHsP2UYR/LwUOho3iXIStto1uoZtqvMwL2dqavueJV5XjlRpd5VxNgtzLC6vMW7WNXYMYDCdlw/a4Fwp2JtOtH8ZDVVcaUdX5du/v5241VAQju78bG8ofJxF3gGZQcM51fWEtTqQ13ZNkSlPm4j1qkPe3vbVIrH7qkOz458d/bGSqWAysLdcu5soW1WvPP3mLr08QcQcr8u2f2RpeY1GwfVPcUFhVBwDQL2yc1MIDiBGQx81DPzp4aBJaNC5UtxKYX72SXyks7VuHzpSxIV9ZU3H4EDPlUN7lPa9oHjvvhr03ghLKYfVyiRmzVj+pp21HcLj3o702geCQL6psLlht33voQvdw8FGLdoAXdH35Eed0BcCAeD/iB84G1abnkzbathCcE2PNbt4SqAp/GqKsgzl2fwt1LoiNT6VSg8SU8/jt9qOMA8SH10Um7N87teJL9cp6rYQbAPaOHGVAXBOhflUqootfW9l+JYeLfuVRmCxleVfRkOlleUfRZkZLgpDLgYSHH+0aNclymBdjrkNBdUp1Ysver6HfXNpYAofzj9PJMXhUee5qzeJ9mrcauePVL6J7hPbw9HtP44MdNxM4PpNct/4j3vhOKA6SC0kkDsn1oTqzytwMDTs4mMBysbddzr9CTJnCzlohbN0t+WlFBsWcugL7GDMl11PmNeFmtsxafCwiHbM+pnCqecQ4/PIzc76aIittNHBsM3dZ2bBemH8ZvvgLKts5Ks63fs4LlHMJRP4Ap8duNpc882BnUy7jz26oPhoVWu37Tl4ZmL4ZldzzVHQ5cuOr1s889EJBUZfWYlRyyFaWtvRO4TABkYg31SYaYX36p1Qj0C2NXqO38lvA8vHpmgg//gzKz1LL4szdDSkqaD4HSdpcG9BToUjJdpeM2ySaPvIqeUlVODZRoHSVlhOSOKioOKK8oLEbZfNuR8nUWUykVpe4ncsCu41S3EiAqE3XI+iu1fWK7UP7r5PaQQZ+6ztEtKmBJ703940GgenvKbeV2sFa1v85W8N28PRyPeD7IAUdmFFSUWPfpsYAduJgXhiuAPcogllpGgvCOuA0SKlgeni7GisYXdhNPRRXU8SCBkYvBUeaPhNGbgvpWZ7aqS96YvRodGB326DPQaW9uWDOI9wiQIpcsSy6fYSmTSvI3VgBOwem4MvAt02bdgi1maWGoZ85Sl6mSSCRneD93lgecnjBZ4CN5Hmk05URX/Z9eRR2070fgjNxOgjp+wa3QxHa3oTo+N4WJZBgSFCLQfDMEwVHueRlTARq0aWJMiy4cBVHCmtPPT9xZ+6B0cnxKlHefzReTExkfhztO/W7dhdvX1ZNRkIngIp86ULQmCzIJBvKqwNEG8mYrWoMIDhpiy3vVrtczHEbEBkfU5+G7BGm6tIfvEXVnr7WrgrK25hefUEupFSKig+X37liIjrLpyMCmchoIyF62pdBj7PSxloHjj0fVvnXX7cm73Dz+KoSAqs/DfrKmCW1fbHOSm3ZlaPVuZUOOtk7/H55uiz+Su8L2nEtc3O1oSkTcnBmwPTzJ2Iqe3TjCV0A4m5EYi+Cxvo2lE22ywVxZXZvHLOpx+JW5wd7UDnuNLv3puJgQ4kweHo9iNX+uS2ngg0U1BxMfbI9tA3N9gQ8fJIyOKiMc7HloLG8jKDBGZ4JJyuqON3ShRZb7KIoy4DuXQ3fJ+b3WdIiiWbaMfw9WBF8GJ4CKLHyTZlCl012nQ17JThTuA0AhB9ZNKaDQk0Geq2iy7ynauVUGFRU46eJPqZL7zryNIhKqwETCBMdzYrAmtIhfXTA04lhDuZ2Byw+pr8NnPFN0j/94s/M7d1KITkPKF4Kjs257U/azdlDlSYsXD7lBuIPZ+bDYpgdQdhVOpVcjlrimNzGjm2ktJ/ZmIbG6TFN3Ix/Egjau9Ax69oEwoVCoOiwsB9lROuZp0KL6WWEze71b6BLpOGffDyy7ERtuQbHnshY768/LOLGeEUVFzsG59N3O1u/mYv8ysc+Urx3ZcPumvqu0DFK3lzGM63Ndy6jYdDYD8B/VpErS0REep5GVdxYH3ElnPmuiuDBGZSyjLVrx21WAGYg4FEpu7G+wi3kqq5bXhj0HGGaxYD2chRtSmyWFVl/Se3i4jHjggVskwZX1M7V/hTC7sNit4eMJWu69FVvCIAEHYZBNauIw5Tbje9qTBphfUBk663AgJrS4XF7hKQDLvvbWI0/Ux+G3lS3yxl84c/N7fdeaZbHLdXuuGeJtzllO5+F0dq0EmT9yShi3F2KswcGKvpTU57uVBhZt8cOX5J+WeVJe+oQms/6QmfE+uihgFXv61avhRiw6fY+5BG4E+R+pE5XYPImubNbHKKhzTjNEsbPzEcnXyqS6B5bXiNMB9JARjvKC/cW9WBgeLQ6wi4YmjsHp5ip8TeJuM3uXezospLf4qjY9Px9pq9BWBUmoihuhrZedk+8OEg/o5ASHO1LzF180gkGqo8cQRcTAhNJy+GNxXOaOrDhdztOBfQUIe/Bb2hc1h5CsT4yjnjbg/yVMNISW9TnfsKE2fBjDEk9Udl2x2lxe0j7egCz8KwspCrd3VhWPQGRYVxZDNSFuBIQaILQmBTIZA/Kvwi/sDYzIVxB+2fWC/NTUG1OTqYj8lvc1RQnzM24LUv/PmRMv2MkdYobPdWuipLLXNz4UjlT2OCB3h2+KxUmKl13bPOOjdz7ZRmyqw3zXATngeXT9nZnXB0e/1gNr+h3kTEs6YaYh/8O36kce5WW/sEgKk0iG8mhu2lTndNqe4oTa5/BuNJ1hBM8LKRJGMzQSN28uRoMj4QfzHHfr55Ee+5go7JQCHdIMOITidEpstL6sObhyLR7Y3A6blMMs/EZmAaHq0mHFW7Lvx9LoE7W+K6SEOA8Vt1MH0YhsUii9Qy9wFsE2vlyyzDCjZrd9NKwounBRbRygCbnxPMd2HIPPan2jQTFRZ1DJsHACzrCEGgV6MVVkcDmcXw7apwNOR20xMu5kEii17cxERKAl0QAhsSgfxRYRwviiqrWpmy7XZ74/Ht0u15rofZN0d38jP5aSPs5qjsBiywH/zdXN/rDYFKmnBUKW7lPBc5UHdrghMF2bffTAz0xkV0qGxUmKl1dVcPMp2sWmFh3yyUSXqZ8ZovO9WEytyRglfvqi6h5JNfgbZvgMcTISosYVnNhR9plJ3Lok1KyWfwV5vsCmGQ3oUVS4Ydj5ajoXBUmagaDNvhMAtFEVzPxtqq/s69YRZUNLQPCZmffzHMTIqL6vqM+L1vB87AMgwMiOMvGBvGoMFlNYOGPfHLW3VoenE8ZnyuQn+HrAXn9CCLea4o2qOboHXuinPOLTpFeQuPqYZ4ugWksD7M2N1YqL/mW89l68jQyhCYjevLuahATJAKDCxim2try5uMVHhpDLwsh6wQHtid1SgkqLCCAtsLld8ZTHgFic8oRVLYrMRV9dE5hudTbRBTn9BNQmBjI5BnKuze5Yr3dcIxgi3zF8jkt2XQWPuK+MCfe1ly6KWUcEpFlPKzNjOKh+uRiBSW7Pw7+jOqObqTuepU+4ZZqDBT3EobBgu3zGoql1LZHcqlasyhFZvqIiUHeAyCCm7WKYgUUWHV+laj5PLThzSqfBUVtpqVrcQ+Orrvs2joq7ZR42yc+ty9nLkYSPDs3o7+qHnUKjpw6MLNeFJsg7yZGGitYwEvtld3jdpEFooBxsTICAs+q2tuBCuj3a0Jo1ToHIOzLsMNsKLC5V9VhsLFu2uutN8ETQoPsfEV2ihjOVkf0QPHyPVeQUVdc8ftno5m0GRH6i61QBkke3N+mKG7Ib+0fXK//BN9J+MEFyk5CsGTvz++Wzrr/ehEbNxuDtWmSIV3fiNMR2orI/LYnFxpo09liRiOFWYZMBFZI/ZmTlRYM63Br3CYcrtpJW4Wxt2Jh3yHLgiBzYVA/qgwDKbs5IRcZYbC0chXDZ0PDN3A5sLLtbSBTH6uKdPNXBBYPf5ML2vvRZpzmLAPNjgrOpYq171v4qRYUHy0pjsh9oUzUmHmB825mSuoT4a5eSnF7ZsNLZH4UCLGU5CGzvjC3MSgPAilOmakZPc3Vwb49jpRYVMAHMBKhF0vVi+NWkaKNmk3l6bjlyqLQ2FUryZvQzy5khOd2Q11RHVWQIWXlx607fum4VJsRDHgFGwdXKrhMY31U3SuOCyllpO94NYNxWxvjbSpAAeCWPhw2ZHuOPjTDVu0Xkrg7GjrUXZoDxMp3t00+GReVCfFdmwsNwvLyd8ugsc3oYUp+KyhJ8kPoQpu5/Khd3fDUBeuJhnTiViTFuFZ5AhZR8qOxLTgINiIqk2RxVrOCvFAIVdgV/U+7/u+JBQuq+pFR2ZirBjVhQETyW4gMaXORPJjAG6s13F0B8YuAZcEHC9YYcxRxUsA6D4hsFkQyB8V5v1HhaSferFVo1UFMvltFonZgOVcR/zxxBJ30imP4ecCETPMsAM761NdXq+5k39W8hxOXOW1MFsr8UCkUdEmBGdufLSTsa7CA813hSqBu/4FB2dgigCmuvzUmjqsJk+tNTbXfQMH15QyUn/Er2/GHW0xN/M8PtR9qUboNSIl5fVdA+NCQ+x4nwn/3PhIe/0BYLGFBxo6RGiYwrqe6WWpTy3vwL3BxYlYFbLhj060cy2JpMI4iczPJtElgmP6wGgX7vZFLIbFi6Twn8CYruB2GT40aV9qeQnPEmRcc4q8pjC7xdkBDK3HLJFGNbW9alNksWITRuY4O9AIOGyvHwGH0DyuJFLqRx3lRQ7Hz5iIZPwZLkSthbpdheNm9jNX9oWdpudwU/tQFpJ7/KjqFULoIQC5jIH0DiGwcRDIOxXeOFXNX0kCmfzyV7wtn/ImxJ9ZLyhD3i3fRh9OBQORRkGb3savCkOFSEl50824ZY2g+TIDZ+1370hfZlZ4lNx+XhlmzGY60dNxpeabAyrqGOwbNLffSiSVUlbRI9W40/H2xuO72W4JFFgqcd8+uXWxpjMOHotBe1p2pFuzkRNh7ULhsktxwdikzYAX2RoHm9oMpk2qVMIUmHO7lXyIQaE1vw1ehTHvvxy6wjXThUcviV1Q0abLS7gQNZn9bB8G9tteezupTh+i7pzbHL+ds5B30wqzNYP1f22JjmsM5arcjqGjCQlYh7tQ4ZnBmqJo6MsOHirFrLUOOF0TApsLAaLCbgP6Cnt4IJPf5pKbDVXazYd/vKO8dO/OM4PClCIAIdxQLfIhFyYQaRy+sHdnVfcT8LrTse/vdZdi7sfaOM7z4N6h6kfNY8MKRzBHe6Fb3KKy3d80NHfcHh6btY+HeqYPa7zInuPNPe6kGSLhfXSi/U+nTvFtInbiELcnNrXCHnlhbDnN8YXHa6xqulZ4RR+Cn5ZIw4CkpxlzMWAE/3di1wU/V1TYLZGXgw27q27aFHN6pE9uAlhfTXYfKd17JKYd5rNecPn5vLNq784Lo0Y5XV5bXkpBmFhH4mi/oUdjcf+WRjNCYPMhQFQ4gDYLZPLLYXgKoKhbMhfCf0s26yatFEljlobLTitzosJZcjFZmk6FV/Thmr6cHZn1nAKSN+t2lx5oMN2ArCk+ZptS1oRAgAgQFQ5gcKHJL0CJXEVShP8qQKNP8oQASaNvYD9UKkxUjxAgBNYJAaLCRIUDQMD35OerDEQ+1hd/yl1HgKRRR2NV128TI3CiSwXv8D07zo2P9t0aHM522m9VpfU1dlGOhAAhsBEQICocwEBGk9/6ijLhv774U+46AiSNOhp0TQgQAoTAxkeAqDBR4QAQWF9BJ/KxvvhT7joCJI06GnRNCBAChMDGR4CocABEkCa/9RV0wn998afcdQRIGnU06JoQIAQIgY2PAFFhosIBILC+gk7kY33xp9x1BEgadTTomhAgBAiBjY8AUeEAiCBNfusr6IT/+uJPuesIkDTqaNA1IUAIEAIbHwGiwkSFA0BgfQWdyMf64k+56wiQNOpo0DUhQAgQAhsfAaLCARBBmvzWV9AJ//XFn3LXESBp1NGga0KAECAENj4CRIWJCgeAwPoKOpGP9cWfctcRIGnU0aBrQoAQIAQ2PgJEhQMggjT5ra+gE/7riz/lriNA0qijQdeEACFACGx8BIgKExUOAIH1FXQiH+uLP+WuI0DSqKNB14QAIUAIbHwEiAoHQARp8ltfQSf81xd/yl1HgKRRR4OuCQFCgBDY+AgQFSYqHAAC6yvoRD7WF3/KXUeApFFHg64JAUKAENj4CBAVDoAI0uS3voJO+K8v/pS7jgBJo44GXRMChAAhsPERICpMVDgABNZX0Il8rC/+lLuOAEmjjgZdEwKEACGw8RHIRIX/11//d2p6hv6yIkBAZYUory8Q/nmFlxJfEQIkjSuCi14mBAgBQmDdEfhff/3f/7cwo//9D/nj/zz9/6Zn5ugvKwL/52ky6zv0Qv4QIPzzhy2lvFIESBpXihi9TwgQAoTA+iIw9mRSUl92oajw//7rWZr+ywEBAioHkPL4CuGfR3Ap6RUiQNK4QsDodUKAECAE1hmBTAYSNKbn2DgEVI5A5ek1wj9PwFKyq0CApHEVoNEnhAAhQAisIwJEhQMAnya/AED0kQTh7wM8+jRgBEgaAwaUkiMECAFCIM8IEBUOAGCa/AIA0UcShL8P8OjTgBEgaQwYUEqOECAECIE8I0BUOACAafILAEQfSRD+PsCjTwNGgKQxYEApOUKAECAE8owAUeEAAKbJLwAQfSRB+PsAjz4NGAGSxoABpeQIAUKAEMgzAkSFAwCYJr8AQPSRBOHvAzz6NGAESBoDBpSSIwQIAUIgzwgQFQ4AYJr8AgDRRxKEvw/w6NOAESBpDBhQSo4QIAQIgTwjQFQ4AIBp8gsARB9JEP4+wKNPA0aApDFgQCk5QoAQIATyjABR4QAApskvABB9JEH4+wCPPg0YAZLGgAGl5AgBQoAQyDMCRIUDAJgmvwBA9JEE4e8DPPo0YARIGgMGlJIjBAgBQiDPCBAVDgBgmvwCANFHEoS/D/Do04ARIGkMGFBKjhAgBAiBPCNAVDgAgGnyCwBEH0kQ/j7Ao08DRoCkMWBAKTlCgBAgBPKMAFHhAACmyS8AEH0kQfj7AI8+DRgBksaAAaXkCAFCgBDIMwJEhQMAmCa/AED0kQTh7wM8+jRgBEgaAwaUkiMECAFCIM8IEBUOAGCa/AIA0UcShL8P8OjTgBEgaQwYUEqOECAECIE8I0BUOACAafILAEQfSRD+PsCjTwNGgKQxYEApOUKAECAE8owAUeEAAKbJLwAQfSRB+PsAjz4NGAGSxoABpeQIAUKAEMgzAnmnwvN/DV1rqi79tGJbYTQULt72acWuf9Sfvz70dDHPNVvD5GnyW0OwXbIi/F1AoVvrhABJ4zoBT9kSAoQAIbBKBPJJhVOTN/5VFgpH3f4OX3tulnjx9Vh8MmXe2yy/aPJb35Yi/NcXf8pdR4CkUUeDrgkBQoAQ2PgI5I8KL/SedCXB7Kaiwq/utFZ+XgJ0eX8sufEBcyshTX5uqKzdPcJ/7bCmnLIhQNKYDSF6TggQAoTAxkIgb1T4r/ZdUh/8+bn+Z+9Evd/NT9y7/K+TUiucvH4cItsJAAAgAElEQVSYq42JCguM6N8VIUDkY0Vw0ct5RYCkMa/wUuKEACFACASOQN6o8B+N0i6i9vdMxc6JCqcWXs28frUg+XSmBNOL8PL8Ghpb0OSXsT3y/pDwzzvElEHOCJA05gwVvUgIEAKEwIZAYC2o8K7Lj115abL75K5PK3YUCTuKSMmOTyt2fVpxrHtKYjMfj1WXF0tWHSo6XNv9eF4+Tj88j5/wr6aHzn6NthaokN72dUv/tHo1f1c0+eUP21xSJvxzQYneWRsESBrXBmfKhRAgBAiBoBDIGxWe7tkvDSTC0R3/it2fsXW6Sh+svRkKR/dc51T46b+PFZiPGCfeceaeYMP3asULe35oPQZOKsy/jxuHF4LCyjMdmvw8oVmTB4T/msBMmeSEAEljTjDRS4QAIUAIbBgE8kaF0++Gmyz3EcW7vm3tf64IcWatcOrOuR2c15Ydu3rv6czrp3da90QY0y2p/YOlo6gwkOBIWeWpc6ebzlV/oRTJ2354mG+0afLLN8KZ0yf8M+NDT9cSAZLGtUSb8iIECAFCwD8C+aPC6fT7hX6bDQOR3XGqN6kZTCjdsHFs7vWNf3L97q7WcVnPV93HuN73uyFMQ6PCkcPXnokX30+27Rfq4Ujj8HtxPz//0uSXH1xzTZXwzxUpei//CJA05h9jyoEQIAQIgSARyCcVxnLOx3tqNftdTmS/jj0V9NSdCs/0VnKV8MHzD17DmTn211fPU/i0fQzS16jwmXs6MKlfxZth5bhNfyHAa5r8AgRzFUkR/qsAjT7JEwIkjXkClpIlBAgBQiBPCOSdCrNyp57du2yG29jf/Zo9cqfC8ZZtltWv/bNxGL5XVFhaGHOkNBcWp+/we3n6hya/PAGbY7KEf45A0WtrgABJ4xqATFkQAoQAIRAgAmtEhVmJ539vFOa/0dDR3ld4150Ka0SWq4FXT4UrLicCRMwlKZr8XEBZw1uE/xqCTVllQYCkMQtA9JgQIAQIgQ2GQN6osLB/MOs72faFMOEVlsHuVPhZZ6kwkGiTFsBmWvhLaYV1k+J0Oq2SDVf/POPyZYC3aPILEMxVJEX4rwI0+iRPCJA05glYSpYQIAQIgTwhkDcq/EdL6Q9D+vE4qMCzmHAB4aYVLmq5Lwn0+3u13FlE1OK4kI58TTOQCOl+094/Pvux4NzlzKo4TwBCsjT55RHcHJIm/HMAiV5ZIwRIGtcIaMqGECAECIGAEMgfFWbR5oq3/aP+dBM4ODt98vA2wW5D4Wjlf4St8L9F4OVwtLSpp3+g5+c78Ch+QfpiKy49E+tPTMHJuYmHvdcb9xSdQ0Nhw1YY7Cg+b7zWN9TfF6v9XPBgLaOAEHNJhiY/F1DW8Bbhv4ZgU1ZZECBpzAIQPSYECAFCYIMhkG8qrCipbvK743iv9CCRfh7bY9oB8wNw7yevfe3+eSjMzswZVHjbx5I6a19priryhzxNfvnDNpeUCf9cUKJ31gYBksa1wZlyIQQIAUIgKATyRoWn753/tsIZK67gb8fO/jIpYsXxWjz9z8kdmsJY+YJITfX/YOiSgU8Xluz/4R47cmd6kHh8v+WglmNx6Q9Dr5QpRVCIuaRDk58LKGt4i/BfQ7ApqywIkDRmAYgeEwKEACGwwRDIGxXm9Xw3L10Cz7x+taBCzdk4pBaE8+AFLf4GvvVeT8R6qo7NcQK9yNOZt1OxMwzwN01+AYK5iqQI/1WARp/kCQGSxjwBS8kSAoQAIZAnBPJNhfNUbJmsgwrLJ2t4EdjkJ9YDLjx+enyYWUtnWE7kqcpqKWKtQ3LPTy5mVp1CpryCwR/Bn190zQjL/8Z7IYcfzc+8Tjl3IRA9lazzBdcM6eamRSAYaTSr/2piPJlN/Mwv8vIr9eb1qxUVw0PaUwuvX83kZSjIS7X9JOqBgJ8kg/o2Nf3a2p4NKmUjncXJsWeeI+faSELKa9JMLaiR2Sh04D/ezRsdBycUr1JZmVsziPU0nV5xr3SkQDeY84P/tzCj//0P+SMfY3rQoG8FKpx6PnT5PxhcWnhTrv0DcEr+0notvsAQk77hlPWIASXHQTx9PTYw1J/9b5zbmbwZqi0/eP4Oz8tIOJ3WjLmlibb1ysLwmbIdp/p1c5RUvPfawHiS93bZTF4pWAmu7GcggjrWWhEKl52Nu2X9V/uucHTbDw/dnol77x+eLYqGPmm5b21HoCk8a5f5Pxp3FDpxzrGxnA0qmk8Ugf7dCAgEIo1mRR6DaOkOdszHzl/IMESETn1fzvXamKRFYs9ilV+39E+Ln/Dv1LX90ZBwgskfpKZ+PnX42H8m9ffE9eOzRcXbWlx6zfCZqHbeQ7ye5d8s3eS+N9/KknA+H7/6T3WoqPrGVDqtFAre7aIaYuH+herTv2sDstjtFHunuSRiVizesuuLxp8TnJWOXa0IhUvOPjDfcfzCeSe3cK1YwacPHuuzQDqdftV9LBSOHuvT6qLlkkUScgHNEOkFF2XEYn912CG3WAY2qx77xb1sWjH9Xj69Dr4BKkVYMW7YacbH9cxDm0Hc3nHrlW7v0b3MCJBWODM+OT31M/mlHrTuAjvpsto/FtI6FRaO5/b8ezKdfv3zUXYW0CtciEWFJfXUThCaZxPxFCMS08V7p4XjudIL9+bfvx7+L/T4wfx+NJ07/d1hEfmvolLe5Be9Y+k06+fowaNl+A1D7F3/dyzrEiSXsjwblQo/Rzd/R2NPjYGV6cBYXQ63JRzTj7asTw1AoG8ZQ1HJDQ5kpR3IFRYeXzsOhztLm3QrdglO5sZyPs0dzPGf7YYzmxieQlPSf/4R8DMauOf+AEJv7rqKq2X3N+y7yDCcAuNxx2K3mNj8o/b9hdFQpOxY96RY3NmTbup5b+0nkOaO471JuwjpNEYMlZ6C9OdZCJD+qrrO0k2Y+kC+nnp271pTdemnFbvg72BlU0+cD03ylSAvnva1nm5quSGIpkgax+2iFlhfO06H6+fI+bVsiOmhahiTcVLAtKQqxOUra2CXiYhCwL/vxy+XR0NhjdRO9+wPK5em+rv6tZMKv0r0XFaDSf1+gLdM9w1lNATLt7x9zEM7nkUScgHNqL5WQVENWI24jsxsaReu73XdCfyrl3u+UpV1jpkZ7qjhlEcW2364WiVVvSscDZVXu2bRhh60RPG55AglF78d76ivvcqc1dq9Un0IV+/GultON8Xu553tm9luwl9EhQNoNF+Tn3SU8XHL/QHmgS5a+wfKdzjKnSWzdW0YNEOuWkt5fFB0GDFtFJbgTMDmA/X/HUVsUmRc6t3T7pMyCmDBt62n93tMmcago6XwrPeYINOhwmM3nqfT0i00L7Aoj3L9EQDsMglf+MM84e2rZH/saQJUwu4zkFrW40zzcUvcOeKz0Vy9uRBvPRwKH9YCxyA43/Ub+p7pe22t/WNTDvItmHovrDRyp8ISf4+KhKM7mu4JxiNxpYvVIOBLGt0m4GPgGrJ4z8kM8y5/9PNfvMDIMOp7hbQYomXcfHz5C3eFGST05t5ZyLrs7H2mSjQnXRYFKVJW+8uUq+TgNkt972J22VOdi3UTJwGC+9LIytEp/gOr0NN3tMa6c46nWVS265MSfh05fC1TtCbt85Vexlt2hKM7ztyz7Q1w3N524TGkh5Wq7nMUnjeHoyGYKiRSdvoPYDGpZw+du3zn/xkNhY+dt3b/7suli6oGtoXtoZ+5K63+NRNLclJhfZW17ROcU76orm06d7ol1jswdH/itW5ywBQEGbLIhQqXtj42BRix+qI9bkjy63jrQYPr89q/vvHPaChS3+/ku7jXF/puyFV6pVpKCafXLOB+nw3OC/GrxwrC0R3/aDRZr08qjKHK+Nxq9krV5uJqurcykn3NI97+cP/d7FRY7Zqt4waZr8kvnU4n2vd80dL//J3sfrV/pFPPh85+UQGq4nQ69SuM9W5/h689YzME7gGFo2zUmE+J6UcxMEPEhY5Bcan5By2lkWgIZot3YHukjzLxdhH5zzm5CoO/N0OnmX7oOzCTYCOgW4GtWrgs4o2C5vbDH/5g3QEKmIGpV9Pj/Y2Hj3VPatV/eL4cRtKfp16/+qv39Hex+LQGjtAKZxrx2TLGbIhXz7lTbawfNpbxAiuS1w4AfJRlCrFx86QRT/8NKpPQx+eGnVOFnQj9zgkBX9Io9oVy6DtWV4KfUiGXs3g459F3T+9rpji/tp/9oaeXk62e2k+joU8bb/Cfvae/OFjb3a8omkHCxi9/GkWeoYZo+aY7hxsY6k9gv0DWuOtbxu+RNIje8epO5+mmzmEzeqiTrqX/OLfjX7H7M8JENTX183foavOfPcL1UE5NmdNLLJyT2zIYx+2Ky2x9gpWSDeRI2dkQabCnCuOY/NzxOt7IsZV5Ovs7lQNTlt7CvdqP2Zjvnr4I2mqM0jlmCikylbCmpb7fotQxTEezrRCWedu48l4+bb3PSoSgCf2OLKQLVi5Fvd+KWZSAU6lIyQ6VBU8cTUSioaIyp7boPM9e5pjDBfZcR/uCmqnywkN7jcRCgwmpzpI6A+G/7g3fF2ZIqNHnSyxXsyUzxXnkD677M+aLH/SvzU6FN0Tj+Zn8cGRxmdXEXHj42vN3vSe9Xjh8bdT2yowz4oqpcDqdnn/Uc+MBagj4ICIGJqlWcYxZxpCx8PjyDzEcbTMU2KqIMciuui194L9w/8LBUDi65zobZZCDRg63TbBJlFHSKNNqsBnFRfdjjPivf25qvCEsvLFG2BbHO4cHhnqvt55uOlf9j4pdn+IAravMtWGRG5wYw7doi08rGOYrmJAywMoUBl4W0hk+pEfeCPiQRmeiU+BbPVL9s2Gz63zNvpOzeDhZBd5xX3hbndfxUyM9aTTqqB4QZNQsYJbiGazRWCg+7UDN35SRnMvNhQWbfPCNteqfTRptJLSqH0yt4Kb4RH2kjHVqVMqZk7Mh4J2n14/tb31s10V8nQVG9hrXLrtrxDlL1gO14lfJ7pOMILL9Q679/fTkjakVLMLRMkGcvkj0Xv5lfLjb3tmoBLMNd7s7KAiCtutUj1xE4YW1JOMrtxunKgytMFtVmkwXmTcqgBbv1RaBY1aLB7P6OhitQDzDvw4q7OT9Wl44/jty117AcR4MxBdSCEKIKapwUcTMr/e3sFWoOxqmZhCly1U1nqFGH9gjosIBNLifyQ+HM8ekoqaiw9ceoFGXvrT9WzEjygV/O3njYUYqrNJxzUJohRemkvouWc6qKTVkLL5T20ys6+oFZswPCmMpAGBs9f/f6vF/3rO/MFqKq3bcghx/BcYSZfIY0KtfG/c0qX1PIKmRg20TRpGTEC5RjPi4VbrtVPvlbw9aJnR8bcMILoZgvNzNzr2Zk/1/wFilYL+I0SjNyxpRPRYuO/8Ics9pFjSK6fzBDdB3sA1c5/MMd/AQj4ufE/kJO++ijgHJB+KCpbBqVTSmr2/FinTX/9/VS6Oj7MzM0SXyvONN60a2UcUcDZDCplJuVhBWup4/LSbHzOsb+7m9kH38wI0AabpegzUavcNV7F1vOkqK6YQPXwtiwFGJs8Oyku+qB+k07r+rwwNGpfT32LUFoPMFlzvZK/5mCPS+ms2xMxW+8P64vldbbqH2HWhr9dcloXDJnu8YhYU2yp4py2NhCLjmyX7k8WyocdnmypKanEqyTGRSnjXdCs5ilkZZZsfYpHMBwxY2al5z4uV1x0GFXyW03RXLiCWHn2PTsF28K1xx+VeY4ve0xgSezOxbVtn9wqq451EWr+p8ePeJCgfQ5n4mP37W+69ePCfBxbq6b3KMuU6bWYiDZwO8LxSHbILkK+CZe23AlhhPim77GijUz3+xcd+9kwh9szA2XbgHtg0fn7zBVaEOQNR4JKiz9cqz2P7C6I7jPU+RDt//gRvnaQd9ZHk8UrASXOFPP/inBYnHQVAvnsvGbv9A7w2xI8yX3XjebtupIRzx2eK7+ufpqRvfVuz69Bick2g5V1kUDX3bk5xxO90MNZWTPTcsK/36YIGwEeRIpCZvwHm7slpxqFyO6SuESr3Opcj7RIt6VV69X4h3N+7hhuYgXQV/q+811Wzz8Vj158I6E5dDezq0816OFEJFh2u7Tb3XVM8x2M1svZ9ekEFz1OQ0PXT2H6hTwU5RUF4vvazIYq7vhS9p1IvOjnKGKyobbV2aaXd47vR/yZBD/HsUD6eyzZlOPbQmUGEQ3W3f9rAL5iZi7D/O993uQO4mk2NHspQtO+sX+ia12uXY9WkFquI0EmOwRtk74AwQ7I9Fzg3rKLGbnocoxKusSFlfE6/n+C9jGNpAp75jw6CSW6zU/ste9Ah1e0ytbrhNMAYNVDQK44Gs6+HpfjaniC0vVTbziu+MhSIHz9pOhNj+ntY0WTPlSbPtNb6bkfqjcVs46rrkzjKOIWgWq3P3ZJJO23YyGagwUwm72bQ4qPDUjeOGrOqK2126dxQHFVYg47JfM7rTTOx0Q0S4Npobh+j63gRS4etTSN8rLndYh2jNrqdyNa/Y6R3XNZv54gf7i6hwAE3va/JLvb5/3Qi2B/v1Xx8OhSFaXvLNULWMw3e0lxm64YZgNGQcfeVcU4wagnpqh7HwoBV+pbrfQiq90HuS65hDkbLaX18rdxC5LcT3dPSflWfmPj7587OFp7+2VpYXmycVRHnU7BgA7DIJX/iLVBxUWJbZfUXBoGYGZwV/U+RMNIFI12IJ8ra6wIzO3JvvOxkKF++/Dqdenv77WEG47Nj1x/Pv06mJnmOfRGGiYuYr+GGWKUQl7nElaNblhMcLLre5uUio8CA7Cl377cFtEX2aFHNqmC/JTp+qLi2KhsQSLp2abGOh1CMl7BBYrQhIaZid8KVX4zVQt0e3fQJUiVMK4VZlx1E8hnKSRZdUB+1dSr3mtwKRRnmUU+xNe83HKHi6ZQLWN3fx4E5J3w/VhkGHl0qjrTBa/WIi1jaOVQx0HQC5q6/S6bRYDMuFZZbZ2iYxnlTYNR3Xm2arv39941voxYGbSw43wf6+SyfiiwEht2KvX1NDuI0qrB25/LMX9P5la2QztDJ3AALaRHOdaQIjfvFFODgD+VdMudrgViWH2+5MShdpmKnz0IhB7+Zn+NkVVV+HDQbLOkMV4IX8UGE2sDhVwi4Gx2z0dtqqMaNBObKl0+ycj1r5CGRFmm7N7TLDGs0dv1AS+rR9TILwfjL+6DW6Zjp2Q6nwc5B/KIzLqkYrI12miQoHIASrn/yewQY9Hy8+OTf8C/cgUVAo6KneW4RKo/8UfiJ+YgU4bxM8TNA4ra/ioCM0wXqlFx5fZgQFj0/duM6txIzlrzpzYM2FFce6p+SwCxUpbBxeWHg1MzX2aFxbB8uR0TmGioN3epFWeL16/NNq6xa3AoUiDRRdnKG6lQUecajFkf/LHefgcKGLkhXNPb/ofCoTQq3P0wdD/d3t6DdHZvTu1bSyU3n1+zk4yIiSUPBFq/BSx1PJMoXIvNwvsEjh6B7m4s39HcddNkNH6ntVGdNpzUc9O5wRihy+/Eh/412SnxF8N9yER5e+bjdMqYXuStEUTgVKtn0sjbbT6ffpNPf6p1TjcKL0USv491iJz11HxQK+4UMaRUneL/TDUU7T+5V4aP6LwuNOhfX50vzI8Wv+d9DbqSbAF3KQMbdpmDefPtTga44j/3J8sM/+YwqCVcjekU6n0b+y0AiISuBNIPEe//EdFTcPDx5f5HwbD/K7LO/fDZ/hGyOiFpzVqZ84vIjh2vTZvDh5HzfQbeNXh0YWG8gaUWE4TT0AjxZyXZ1jdebvtJayyejrGHONpx/XlotVMY+IaUufocT1nusJ9MjZeq2v//K3xaFwidjOQkkQrymibN5RKKEksK1ObScEtzKKdN9ksFmBA7hGJTNohdPp+WdT82/unT/DDrcohOxVmZcigwm5Nr1mo8JyWajysq+gwFr5Wdanhoz1AHNnZHi9cOuDdtLwGw35orW/uz2je2miwkEIgY/JD49WgGPOnrE3C6/6uKeI2j/eJQdaYGD6uGyH1ArzfoJDP1fhyNLjhIHauNpvD1b+dwx0PEBM1bEAPDHgtNbF7bb3kz+z/Xd0WJEWY7F5WMG5tffwqbT1ZISGuSvCMchrmHPcz2GMkLX0uPCBv9z/Yq4xhQ7seE8yRyosioSeiYTFsLiZhgh2UzeOs6Mh4INTuLHjEwn6G9Yne/gytTA5fP0caNbBAgHVfpGSHf+ov9ytfBXlQFNkIewLrvh3nii3XzR/MwdVn7Z7uB9+fB43B1x1LZAQ15O58DPOoeXmneBSys4SC8LM+xzOj/gZTTV9mqVe+18+pJEVVmjfoePrU6NrVdypMHfhonX/TCtbpuKyFjmceFlMy1D+vZpxuABjHtCLGmvhpK/s2rkQIK2mnlQYK/vPVnNcagX/uPymNiJxLB+iPzh+HsAVQR833cFP44GBPWca92g+PRy5wLcaFXY8d+74u1Nhi5IyzN/FW6trf30tT79lan2m5mB7/W8eXzvTOsxXsnxuCoUPn2+FiYkZWuDIY3pw++/GXeGofrhNndnCbRxhP5ZOa6oHjdraVjfSJyBjgQ4nDzhWOzS1tplNRiosqaGk+KwB+BFM5bLDg2iumAqbiLnaCl8+ZvR3VMnv+feUQYWnh85+cZj7JOEi41FCp0C5AeJ864O9Q1rhAJrez+T36j/nTg9MpdIyJkVZ9fUhMJkHv56Phx8tJP99eMeZxmNIbUFtI9zc8qgN0/cun6ouVU4eYGTcc11QYXO17aCh2nT1/vV96atFcBG39/WRV5u90un0wsN+toO/maiwaH12/EVN3sKE190LOlhmG9MYcywqz59NxPZ/WiHWHgIxGLsPVp46d/pqT//Aw6cz0gEnTqhnesd+jZ0/eYxz5cKS/WdiwyyA1uLrsV/aqzUD2W0/POxfTbwurGzGE+Xp6XGTZwz1D4iYdovcVqe0aUgtgQR+XCy9tbPcNNlVeyf2YfmRJi5+1gknfsjPqdVg9kJGc8hSrceFn9EgLfXBX8f6Ow5rJ5ZsuiCYBB4ScGiF0+l3yYF29FVib+O4saJj1S0uEShy0f/BEKHnjs6Gq39dMJdqOFv71wpPuRwRNscoc0QSg+qeDhdXuwGIBhNUW6Tfwa5defvYMyit9wotKCpscSzRW7F6OhVmA0vB35zygIttXcHJoAEfICX7/8mc9S70nyoJhctO33lntiy+iji4dEDmr72osV/fJVoR7ngSxg454aGptR3tsWnIy4MEFIMPKUA3xX9YO12KPIgma3odNMzOtblR0yyULN77q7vgNLyW9ft3rxL3gAl4wcvL7FFCUSP1L3MErpdZPaMr0goHIQM+Jj8ZBoyfewsZMWnwQMz7hflFFHdQfvQMQ8DMKMTMZME2MKSTOR9E93e0Q6jJcDT0bbtkNujL0+mSXQydqXcqZCXr57DvbG9CsQkYD4CbKqv3k/fvTPIUhM2AClOHhBI3sKBUwmMom91VVJ5VN4UP/HmeXIsWbux/I90wIUN116vB5KGGfuaeUz+EMdNfjaz3/PX+/oGHY90nVXthhvN/tNZelzZ8jAoPjbVWFPztWHVLrD/x+unv7Ze7h/ofTL7SnTCkFpKJoWst537+y7YazBU6EUzE8ySNyzJG6vbSr35tFHsUxbu+be3XQ92yD+3Na1UuRliFL0x1H68QATkNcPFT+eI7bDNarCscazzVHFbaa/7ThzQKffDXsG+LM6hnfY0ur5NRs7549M21i6FpkOO8nf410gJdK+wMbeCmFW6FIw0mYcoyW9u70igAglWw3nFPL5jrtZ0I+LVFA2jPfQzXZFZykwmqk1s8aL8c1ywi5HDqEFqjEeVTkaCzRiaqFshZSo6piVlDf5ctMESm4gk2WXl7P0QMRn62MFT7MRxXsMoA72MFnR0Qd5+kaQQm7IxAJPJbyb9ZxIknhSOSZVyBM5c2sDA3F1rsFaydxkc9aDdXV+ugeVNh7puIFQsdlUonpMY5SFBDOLY1nPBark5ZqD9bR+7mmslLXFcC/RZ+l7TCATSuj8mPkQDvCU9MctwfOBzJx5elobA5zu5qeQgursRNfXjCTq6pgc16gyERaiKB34jPQx6KHHECTxsymK46UlKquR5Ly5hPOGTgWAyFF5OcWQIfv3zgz3LFsRWALS4ojO7AKCGaYwdnyaDVOLacXBZXXu0Ht8Enj+36pMS2wcXluNI9ML2sOkfinOy1s4wwQRZvA2LdeV+LHOsyITmL6bjzFBSN0RAyLcdDvAEWHdYmuGnM/ebxjTOHZZzVHacgoko6nc6k9MWEXeNdiTKwXiDEiYufNmPBexiywV5HKV2pQ3Uk0l7zf/1II8Ro/Se3X3QyIbeqIHRilHC+4C0nufEJI8UVfGLmy/qXfw8SRmmsH46tbTEMeoNjpbDin0xQTw25f4hPYayz7c3QfPbjMgyfEQ19XH/N2i5ncUYsAwnsZSaqK6PCeMLP2mnBgrNaNBmLDRmUwRBCKAPaI1mrC0xBn2vASz2LD/L5uWtsVAR/mgfbnqV1RbXbBkXFLjBOS6dtwqcrs90NJPTUgGsiN7VKZQGoyiliDOELOkoeMs9Ay0KFH5536oDREaqcATE7N4UxA4EJlgWvjYwrGm5UmLTC7h2V3yUqnBGe3B76mPxQK3zyMETECUdDn5/k+57yznHuNYJ5qZRaBOW+Z2a8/874q0XUf0h+9js/fld9NYZ+qWAcEfv1WsfTfMHwo3hM2cz6udRSeF4I7iKZUDiqq/04PQrzgJ8blgrDuB+pPvvD4VC48WccwQuAjjgZqpQGeMQH2ZneSh0f0CIfO2sFkU/fOx1hx/PTqYnOPTyqn5GacrMgb0Ok2amxO0M3rkJUjm1fGEa6zjFdfed19axzDyyl3J3te33kfl9ze8IteplWWD8daH7JDm2gjwLzgdTehUX4Ay5+FhXGOSm8CY59+BgNEKqBkmsAABOVSURBVBmhOTNYiAMzcSMvVNiDr7hOuoKj6JO3q1ZYhamzTx3Y58NQAARdyNANBQb4L/aI+l55egHkCoMs6vsqxhe+fzCtsxfVNmqh5YXGVNW/9sIY0ho7/bGM76O9g5dKAJ7F9pwBwm31euun/b3xG7uPVKDoj7CcJmVEaz3c5lJl4J/g5ow4V8fvuaSQRuYtVDxFZbsgODO4JcYEpaNitZTFiU+69kun5daidKyOF9X7jQPlu45aKfCfYG2cGxVOpxf6T5WVNg0l8dylA1KPVVxOHiTklq9WyG9hU1fINmtQcVZbr6m+XeMGr9aAHmRde4NfugHifOuDvUNUOICm9zf5iZP1coMYHJyxQUR308MNm5ANO88e4YQh+BnTwIGXH/TOLQm0faEWteIoHnPQhn0PXs7ZQEIOfNW/qvhSOKxARdjJdBwE4ScbCJIDndekTYW/RvCFP+6R7bjwGLfzgH6BPgNUtghpdgOJqd6W9hsD98ampO2vszI4tUTq27rRwABczsE7KX7oXZ/sX/d+B96IwbLizri3K2J7UnRmad9hIfHCUaWctt9Y8W/eoEyK+JJAl1gzQb5vYDqgwFe4dYqkFFz8LCqcBtdC4ei2Hx6a6W64X76kUatNRtIgJ1fLVpiPA3ZP11drma455h5Zu5/cP92kMRhRfpNSZJmtMTu1rla7UrKoZ+5xYZN3zIvaP1beI0RRffyLw6YrvxT72pL08FyYMRUEnoCW2nN9CrWn7t4AGSxtv4PX9tDn4ILGRNX+maki7NCqGvC1d92YVmqg5ewdGMntpmFm/aYKmbWXSabTqcRQLzsRYbr2sBPUCuLlMFi+8hTDD+04Ezu/Pxra33rtTFkmd/huzM8CkKcsFp/OxQYvkm1+IJZ/mi4pgwcJWX64wFJJqXAvj/GBp/2JeCtL5xKvcQ8S+gQtH9FFmjxIBCIEvia/RDs6vkHuGynZcyZ2+TvmR4krU3kJn/Uek+57bX9V4owXp8Ly5C/3zh0KR03X7ujOPaw5fJXcl9l6yp8eihxhdixnL2nHqW0tLfQLj8icHsnJjA0EzHg0VFjtP+CcD/wX4DgInp3H4nEqgCQVWUWOx+ayiZFyS/R5i3CLdu90pHhb072U4aoC9tSE/p4th6IFf6so/bYRDtvdGU8u8JWGMYYyDcp/PzYnHaNMfHVkqXOMV7L9eP5YORzFd3mD8nlROJD6vOW+cUpGOlPjazlhfyKyY+QgzKNbw10PKiwOjFbo/pXh/fcL8Ufq4ItId93+9SGNRpllf8nOa+UqIm3FhUHvCu69GAcB+xE/OYBZy94tS+U16brcN+STGVx6rKtd3GChAIgTBcj1z9yT8c/EeUG5GIALd+v59wtjd4aGJwxxlJUJ4iKjr1ashSQ9kB0/VNCILho4FU6n08z5TPWvr60i8T4biYY+buxH4ygT1RVQYcwi6h4H240yypLYkoAv23QKa2pRYZmCdWEnaDx2EST+PDX18ymYFjEyqHiNOT6KlNX+MuUy9LnVywLQyBx+YMrG4WmRl+NV+4bJcdlTry4spQLLw8d5vZvLFyCdLPDmWkLc+HV2arseH+xv0goH0PQ+J7/UzEPd/pJ3ie3q4G1qAhUDuiLEjgzEtUEwHgnv7qGjva+wF0lFrKgq6/CKCkuixkO8iq/0zul2LfqVNBJQChJxAIi52sWM5bjA+rkYBcw9TVHEFf27evwfte4QilIsnq6JREhd9ShCo2MU8v27+YmHvddbq/9Rti2ipyP84kHz1Sv3pwga2pO4ZZRaeDU1PjzQc7mpsfIL3JjG1peeX/UxnQErHxmlYj9wT9atBbVRWNEplwTg1h+NIQiN0Xqtb6h/oP9aUzUeodPUwCxsIbjwq6g8BS5Fr7U0gks4ieFzsZwrOlzdEusd6Ll8qnoXujLdoZuYc/HTMWRFejf8A1slFu/69hwWQ6Qgs/Ao+1reXr00mqXEZhVdzHyk/ULh8Wo71MTrNkvah5lmUI+svT7BlbBZBl0+s6jWVhBtTiu+fYllU+MPPOY2OdLwxv4kgN/MBszy+sfTRTFWnEZ3NwlvQMMJ+shHyx2netk2PaYgNBpaSGQT1VypMDfblc4KrXqjNZ0qp/nUlATm5kgYMsk3saaiLvKuuFhcSCbu3bjaWPlFyf7rU2aC4h3+r7uAzcdjEGMoXHasm3kC0V57v9CP3soLvmj5+S9zzRMMFU7zGDRWSZ0/3ahw2hlnDv2lSrSxQfWTqfychhHTPjO8Xgf7rBIyF0mWkbf1zof9k6hwAO3va/JD0tMv/MiafKW4tKV/+PpJTW1ctkPqhsPR0qYhHgRoKgbONXFslQfsYIDmrCKLVhg7pOaVQnyV67E5HAWg5MyvkBieWF0kRcNBEAv5X+OvZh6eL0ceFkTn9IH/eNsp/ZSSTr/cGCoXFjWNzf/Vf62lfr/mzK7gbwcrT7Ez+++Sd9pxEI+GPjl5vgmOrCk3luj6A/UrGTJSwpl6MzV2R50v1iZFpppyzE/qUx5QwxQtjQSzJZZJZdTX8uqvTj3kMvg8Lq+/ZkTTSKdTkz+fYRHgRPqFFdW/aCrbN4+vnazglvEs36LDtb+Yvq64+OltIQuxEL9ez9izrM62zx3FkK+vx4UPaTSKm5E0yDdReFzbjofO0dYq8iO40PiEcR9+eGRtfPIqAV6uX828fjoAbmUtK3BNPrPk5ZId2vgabMBRQvsGm+lNHF79chKEJFLfrxsQ21/6+808DP6zh8UBNdJCMUbS8y75C1pGRbSQMQYVhp0NRulCsr+kHkIUz8Jj19CYiqVsopoTFZ5/1O44nKAXk23meAmJKQnMxsmI74BJYU0NKrw4eb+7Hc4Q4ykx1lW3fXLw9MBrD9FiRTIEDM60/dV79msMVvLJyRsT0vTOfu3V7+iDH0ak6vPdD5+yrTM5K7FxRv3fdWDBArDWNKVIByvDNVsUSY4LJ4kTtk08eHMC58GWrbDlDo9/xR2qBqQVzhAhPEOlPqhHRIUDaO7VT37CV6uc10OFB89e5R07FC7bAath8RcpO/3HQlrEngW7yVND89wnK39nz/Wes0V4HcH475LUykT0C65Lk4bCjf3Makp+JQeF1BQLgASdua+9kmUR5uYQzIgTiPi/p9LT905/LgqsMz/taJ2qkW6k4aMdVo+/limO0fooiSQjm60wU6gD/W2K9T6YnGeT7uLk8PVGThwjPH6ydGMJfnkXXmM4Mabzy5CRMEpznERGIwpWWmw+18lYq11Ql6AjYS4mhKmGS8rKDYXpfUK+Kl9Y5ZEmPA6FxeCAy5Q3wEUg0uhCEEXVUguvX80soOPCd68GGmGd7FCKC0Wa55Es/1RY6FzZaFPGTEtFGSVLYy3l9MImpAgbEaPNHbwcl/WSyXhegIOqB5PC28lkf9NBGA+lY2/xXepNBgt+8ZK/f9H2oOTsA0cqggq/6q6GEe+Txl4VLNfSCrNvkTEXaqdanw31Iw9Gl1vy6LM694yDgPopXCgI7wGpqf4fcF3KJg6WyV+96OGR860b7AUvhbG+KOKuctxIs5MKv79Xiw55tn1RXXu1ZzgxJRc2OMyqCcKYC9jchJPOfDxW+wWekFPjp0TYpsLwACqrPNtUdr9mVrlWeA5t2IQVWv+/e2BGg1MZr5OJocsQZ8qlN8mM9QtkuuAe/hV821ONKqrTd9QrstVEu+Bg7uJBwh0NxaoVvBje3PI3MuBq6TRk+mXDHQZHDB1VVroiW+FAZMDP5Hf/Bx6iE/QBV+/xDbL3C/HrJyuvjqck8S08JuPZcnsJLtk4LgiCC/0HP9nBZgVBak3P6mLDnc2g0jOxdAorvtKc53NXVsbIxQ1Pxy8z/S7zPiE814IGtGloXjuRkFbWw6LzR8rOM+/I/prBD/4yZ3cqnNVW+P27eYsUMnUO2gmoBmXZpCav/VM7Ac0B90eF0UWO+xatrBtdrCECgUhjBipscFDo+BD4QNVvoucYxinUNpTVQ+3KjU/Ix7Cxy9i2vOVQ7sr1jAoWo14W+kuUbTE6GaOH+82sBiE8C2nTpdL85JwIk6aKsRZXbFiTWgOZJY6iSGgW7v/CHRTIh6aBhHY7pTWluO1OqhzLY0G5Tt6Yejf275N888TQp6bTzKOWDv4n/BSvyM34Vypx2dGOHXC2wfGf4mry0bv5aaf8wFNMMAcPEmBXXVz6Q++Y5kFSpO4tuqCDOFfdcm9eHFAzdNX2uUMeqFKJUBh825krFpGn418XTq+7lne8z2+YdhSim3i9jfcVvMZcbxRbb1B+rboSC6tuu/jMmOcH+HAttcJTvS38rMPGcQIaSJP7mvye95+/2nN/wkN/lk7P/95Y+q9Y3LSDSr953P+AH7PAgRLcDlz+ZRKGgHR6/sEQP7okSK1aYsJz0aOEMik1Pd5/vbH2v8VG9lQPd8GmOUiKXz0ohtqKXf+oP32196ksEsTFGbrWFIsz4rvw8OzXh8/+bp8CgZzfjPdfb2UHX85fHxqbcRn3sQYr+58v/EVW6EAKw1DzO+gVUj8jLN5Mp+HRsW4Bl7ovrhL93s4x3iXvxM43nTvd0iPaNENGIkHHv9joUFrcmFOjnuNFurHWCAQijUAauk/u+lRo+PRK6H6mrvYMWyaS6YXhMxWlZ3ruZ+lcGHJc6+B6Dh7X3hTE8YGQT6W/FxpcQx/suOnOnxzJp1lYxBtXcUJpifXeGTdW3S4f5PEWM8a1w9bgKCqDKTiyh0WCRdQc7/i4sXCvtvxgbfdjGxY0Pnn6gGmF741NZQFcCeH7yWs/cFsyu1hY00zjofaBSlC7KS5zlMncXsNuYjENVOWKqFJOG4Y7469cmL4onfWv3g2bzl3ufqjZeVuvaj8zhNjQ3jIuFRU2buf6gx3WzOBLPteEtvh7a0eFU380bhNrlzwOAevRXkFNfutR9q2QJ+G/FVpxq9SBpHGrtGTu9ViIX63e9emxy/Fg1va5Z0xvEgIZEXjd+93BXV+0rM+GScaSbbSHa0WFhVtTptUnKrzR5GBTl4fIx6Zuvi1WeJLGLdagVB1CgBDY8gisERXmEV9JK7zlBWo9KkjkYz1QpzzdESBpdMeF7hIChAAhsFERWBMqLM9+walS+COt8EaVh01ZLiIfm7LZtmihSRq3aMNStQgBQmDLIpB/KixdCpS3Xz5FVHjLStI6VozIxzqCT1lbCJA0WoDQT0KAECAENjgCeafCPHpkuOxsnDmbJK3wBheJzVc8Ih+br822bolJGrdu21LNCAFCYGsikF8qzEM+hqMsoi960SMqvDUlaR1rReRjHcGnrC0ESBotQOgnIUAIEAIbHIF8UmFpIix82hEV3uDSsEmLR+Rjkzbcliw2SeOWbFaqFCFACGxhBPJGhZljZwjf0ih92hEV3sKStI5VI/KxjuBT1hYCJI0WIPSTECAECIENjkB+qLA8Khcuq/1DBiUjW+ENLgybtXhEPjZry23FcpM0bsVWpToRAoTAVkYgP1RYxPvNEibbGbd9c0JNk9/6thvhv774U+46AiSNOhp0TQgQAoTAxkeAqHAAbUSTXwAg+kiC8PcBHn0aMAIkjQEDSskRAoQAIZBnBPJDhRcn7w8M9Tv+zv+T+xXedaoHnt6fTOW5emuTPE1+a4OzVy6EvxcydH/tESBpXHvMKUdCgBAgBPwgkB8q7FEiOjbnAQzd9oUAkQ9f8NHHgSJA0hgonJQYIUAIEAJ5R4CocAAQ0+QXAIg+kiD8fYBHnwaMAEljwIBScoQAIUAI5BkBosIBAEyTXwAg+kiC8PcBHn0aMAIkjQEDSskRAoQAIZBnBNaUCue5LuuWPE1+6wY9Zkz4ry/+lLuOAEmjjgZdEwKEACGw8REgKhxAG9HkFwCIPpIg/H2AR58GjABJY8CAUnKEACFACOQZAaLCAQBMk18AIPpIgvD3AR59GjACJI0BA0rJEQKEACGQZwSICgcAME1+AYDoIwnC3wd49GnACJA0BgwoJUcIEAKEQJ4RICocAMA0+QUAoo8kCH8f4NGnASNA0hgwoJQcIUAIEAJ5RoCocAAA0+QXAIg+kiD8fYBHnwaMAEljwIBScoQAIUAI5BkBosIBAEyTXwAg+kiC8PcBHn0aMAIkjQEDSskRAoQAIZBnBIgKBwAwTX4BgOgjCcLfB3j0acAIkDQGDCglRwgQAoRAnhEgKhwAwDT5BQCijyQIfx/g0acBI0DSGDCglBwhQAgQAnlGgKhwAADT5BcAiD6SIPx9gEefBowASWPAgFJyhAAhQAjkGQGiwgEATJNfACD6SILw9wEefRowAiSNAQNKyREChAAhkGcEiAoHADBNfgGA6CMJwt8HePRpwAiQNAYMKCVHCBAChECeESAqHADANPkFAKKPJAh/H+DRpwEjQNIYMKCUHCFACBACeUaAqHAAANPkFwCIPpIg/H2AR58GjABJY8CAUnKEACFACOQZAaLCAQBMk18AIPpIgvD3AR59GjACJI0BA0rJEQKEACGQZwSICgcAME1+AYDoIwnC3wd49GnACJA0BgwoJUcIEAKEQJ4RICocAMA0+QUAoo8kCH8f4NGnASNA0hgwoJQcIUAIEAJ5RoCocAAA0+QXAIg+kiD8fYBHnwaMAEljwIBScoQAIUAI5BkBosIBAEyTXwAg+kiC8PcBHn0aMAIkjQEDSskRAoQAIZBnBJxU+P8HEUqtFUbFJRAAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "9c7ca18f",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "yolov5_new",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
